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High School Math : Geometry

Study concepts, example questions & explanations for High School Math

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8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Area Of A Circle In Pre Algebra

If the diameter of a circle is , what is the area of that circle?

Possible Answers:

$11\pi$

$66\pi$

$22\pi$

$121\pi$

$484\pi$

Correct answer:

$121\pi$

Explanation:

The area of a circle is $A=\pi r^2$ , but the problem gives us the diameter and not the radius.

The diameter is twice the radius, so d=2r . We can plug in our given values to find the radius:

22=2r

$\frac{22}{2}=r$

11=r

Now we can plug this value into our equation for area:

$A=\pi r^2$

$A=\pi*11^2$

$A=\pi *121$

$A=121\pi$

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Example Question #5 : How To Find The Area Of A Circle In Pre Algebra

If the area of a circle is $36\pi$ , what is the length of the radius?

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a circle is $A=\pi r^2$ . Plug in our given information to solve:

$A=\pi r^2$

$36\pi=\pi r^2$

The $\pi$ 's cancel out, leaving us with:

36=r^2

Take the square root of both sides:

$\sqrt{36}=\sqrt{r^2}$

6=r

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Example Question #741 : High School Math

What is the area of a circle with a radius of ?

Possible Answers:

$10\pi$

$5\pi$

$\frac{5}{\pi}$

$\frac{25}{2}\pi$

$25\pi$

Correct answer:

$25\pi$

Explanation:

The formula for area of a circle is $A=\pi r^2$ .

Plug in our given information:

$A=\pi*5^2$

$A=25\pi$

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Example Question #742 : High School Math

What is the area of a circle with a radius of ?

Possible Answers:

$36\pi$

$12\pi$

$\frac{1}{6}\pi$

$36\pi^2$

$6\pi$

Correct answer:

$36\pi$

Explanation:

The formula for area of a circle is $A=\pi r^2$ .

Plug in our given information:

$A=\pi 6^2$

$A=36\pi$

Report an Error

Example Question #8 : How To Find The Area Of A Circle In Pre Algebra

What is the area of a circle with a diameter of ?

Possible Answers:

$121\pi$

$22\pi$

$11\pi^2$

$484\pi$

$11\pi$

Correct answer:

$121\pi$

Explanation:

The formula for area of a circle is $A=\pi r^2$ . However, the problem gives us the diameter instead of the radius. The diameter is twice the length of the radius:

d=2r

22=2r

$\frac{22}{2}=r$

11=r

We can plug that back into our area equation:

$A=\pi r^2$

$A=\pi *11^2$

$A=121\pi$

Report an Error

Example Question #5 : How To Find The Area Of A Circle In Pre Algebra

What is the area of a circle with a diameter of ?

Possible Answers:

$12\pi$

$36\pi$

$6\pi$

$144\pi$

$\frac{1}{2}\pi$

Correct answer:

$36\pi$

Explanation:

The formula for area of a circle is $A=\pi r^2$ . However, the problem gives us the diameter instead of the radius. The diameter is twice the length of the radius:

d=2r

12=2r

$\frac{12}2{}=r$

6=r

We can plug that back into our original equation and solve:

$A=\pi r^2$

$A=\pi *6^2$

$A=36\pi$

Report an Error

Example Question #743 : High School Math

What is the area of a circle with a radius of 2.5 ?

Possible Answers:

$5\pi$

$3.125\pi$

$7.5\pi$

$1.25\pi$

$6.25\pi$

Correct answer:

$6.25\pi$

Explanation:

The formula for the area of a circle is $A=\pi r^2$ .

Plug in our given radius.

$A=\pi r^2$

$A=\pi *2.5^2$

$A=6.25\pi$

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Example Question #11 : How To Find The Area Of A Circle In Pre Algebra

What is the area of a circle with a radius of ?

Possible Answers:

$4\pi$

$16\pi$

$8\pi$

$32\pi$

$64\pi$

Correct answer:

$64\pi$

Explanation:

The formula for the area of a circle is $A=\pi r^2$ .

Plug in our radius.

$A=\pi r^2$

$A=\pi *8^2$

$A=\pi*64$

$A=64\pi$

Report an Error

Example Question #13 : How To Find The Area Of A Circle In Pre Algebra

What is the area of a circle with diameter of ?

Possible Answers:

$32\pi$

$16\pi$

$8\pi$

$4\pi$

$64\pi$

Correct answer:

$16\pi$

Explanation:

The formula for the area of a circle is $A=\pi r^2$ .

The problem gives us the diameter, however, and not the radius. Since the diameter is twice the radius ( d=2r ), then if the diameter is , the radius will be .

Plug that into our given equation.

$A=\pi r^2$

$A=\pi (4)^2$

$A=\pi*16$

$A=16\pi$

Report an Error

Example Question #744 : High School Math

What is the area of a circle with diameter of ?

Possible Answers:

$64\pi$

$16\pi$

$256\pi$

$32\pi$

Correct answer:

$64\pi$

Explanation:

The formula for the area of a circle is $A=\pi r^2$ .

The problem gives us the diameter, however, and not the radius. Since the diameter is twice the radius ( d=2r ), if the diameter is , the radius will be .

Plug this value into our given equation:

$A=\pi r^2$

$A=\pi (8)^2$

$A=\pi*64$

$A=64\pi$

Report an Error

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All High School Math Resources

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High School Math : Geometry

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Find The Area Of A Circle In Pre Algebra

Example Question #5 : How To Find The Area Of A Circle In Pre Algebra

Example Question #741 : High School Math

Example Question #742 : High School Math

Example Question #8 : How To Find The Area Of A Circle In Pre Algebra

Example Question #5 : How To Find The Area Of A Circle In Pre Algebra

Example Question #743 : High School Math

Example Question #11 : How To Find The Area Of A Circle In Pre Algebra

Example Question #13 : How To Find The Area Of A Circle In Pre Algebra

Example Question #744 : High School Math

All High School Math Resources

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