How to find the length of the diameter - GRE Quantitative Reasoning
Card 1 of 24
The formula to find the radius of the largest circle that can fit in an equilateral triangle is 
, where 
is the length of any one side of the triange.
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of 
cm?
The formula to find the radius of the largest circle that can fit in an equilateral triangle is
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of
Tap to reveal answer
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
.
Substitute in 5 for S and solve. Diameter = 
= 2.89 cm
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
Substitute in 5 for S and solve. Diameter =
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of 
Quantity B: The diameter of a circle with circumference of 
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is 
. Therefore,
Divide both sides by 
:
Therefore, 
. Since 
, we know:
Quantity B
This is very easy. Recall that:
Therefore, if 
, 
. Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of 
Quantity B: The diameter of a circle with circumference of 
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is 
. Therefore,
Divide both sides by 
:
Therefore, 
. Since 
, we know:
Quantity B
This is very easy. Recall that:
Therefore, if 
, 
.
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that 
is 
. Therefore, 
. This means that 
. Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that
← Didn't Know|Knew It →
The formula to find the radius of the largest circle that can fit in an equilateral triangle is , where is the length of any one side of the triange.
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of cm?
The formula to find the radius of the largest circle that can fit in an equilateral triangle is
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of
Tap to reveal answer
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
.
Substitute in 5 for S and solve. Diameter = = 2.89 cm
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
Substitute in 5 for S and solve. Diameter =
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , .
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that is . Therefore, . This means that . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that
← Didn't Know|Knew It →
The formula to find the radius of the largest circle that can fit in an equilateral triangle is , where is the length of any one side of the triange.
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of cm?
The formula to find the radius of the largest circle that can fit in an equilateral triangle is
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of
Tap to reveal answer
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
.
Substitute in 5 for S and solve. Diameter = = 2.89 cm
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
Substitute in 5 for S and solve. Diameter =
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , .
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that is . Therefore, . This means that . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that
← Didn't Know|Knew It →
The formula to find the radius of the largest circle that can fit in an equilateral triangle is , where is the length of any one side of the triange.
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of cm?
The formula to find the radius of the largest circle that can fit in an equilateral triangle is
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of
Tap to reveal answer
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
.
Substitute in 5 for S and solve. Diameter = = 2.89 cm
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
Substitute in 5 for S and solve. Diameter =
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , .
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that is . Therefore, . This means that . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that
← Didn't Know|Knew It →
The formula to find the radius of the largest circle that can fit in an equilateral triangle is , where is the length of any one side of the triange.
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of cm?
The formula to find the radius of the largest circle that can fit in an equilateral triangle is
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of
Tap to reveal answer
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
.
Substitute in 5 for S and solve. Diameter = = 2.89 cm
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
Substitute in 5 for S and solve. Diameter =
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , .
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that is . Therefore, . This means that . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that
← Didn't Know|Knew It →
The formula to find the radius of the largest circle that can fit in an equilateral triangle is , where is the length of any one side of the triange.
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of cm?
The formula to find the radius of the largest circle that can fit in an equilateral triangle is
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of
Tap to reveal answer
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
.
Substitute in 5 for S and solve. Diameter = = 2.89 cm
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
Substitute in 5 for S and solve. Diameter =
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , .
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that is . Therefore, . This means that . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
Now, since your calculator will not have a square root button on it, we need to estimate for Quantity A. We know that
← Didn't Know|Knew It →
The formula to find the radius of the largest circle that can fit in an equilateral triangle is , where is the length of any one side of the triange.
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of cm?
The formula to find the radius of the largest circle that can fit in an equilateral triangle is
What is the largest diameter of a circle that can fit inside an equilateral triangle with a perimeter of
Tap to reveal answer
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
.
Substitute in 5 for S and solve. Diameter = = 2.89 cm
The diameter is
To solve for the largest diameter multiply each side by 2.
The resulting formula for diamenter is
Substitute in 5 for S and solve. Diameter =
← Didn't Know|Knew It →
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Quantity A: The diameter of a circle with area of
Quantity B: The diameter of a circle with circumference of
Which of the following is true?
Tap to reveal answer
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is . Therefore,
Divide both sides by :
Therefore, . Since , we know:
Quantity B
This is very easy. Recall that:
Therefore, if , . Therefore, Quantity B is larger.
Consider each quantity separately.
Quantity A
Recall that the area of a circle is defined as:
We know that the area is
Divide both sides by
Therefore,
Quantity B
This is very easy. Recall that:
Therefore, if
← Didn't Know|Knew It →