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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 #16 : How To Find The Circumference Of A Circle In Pre Algebra

What is the circumference of a circle with a radius of $\displaystyle 5$?

Possible Answers:

$25\pi$ $\displaystyle 25\pi$

$6.25\pi$ $\displaystyle 6.25\pi$

$5\pi$ $\displaystyle 5\pi$

$7.5\pi$ $\displaystyle 7.5\pi$

$10\pi$ $\displaystyle 10\pi$

Correct answer:

$10\pi$ $\displaystyle 10\pi$

Explanation:

The formula for the circumference of a circle is $C=2\pi r$ $\displaystyle C=2\pi r$.

Plug in our given values and solve.

$C=2\pi r$ $\displaystyle C=2\pi r$

$C=2\pi (5)$ $\displaystyle C=2\pi (5)$

$C=10\pi$ $\displaystyle C=10\pi$

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Example Question #51 : Geometry

What is the circumference of a circle with a radius of $\displaystyle 13$?

Possible Answers:

$39\pi$ $\displaystyle 39\pi$

$169\pi$ $\displaystyle 169\pi$

$26\pi$ $\displaystyle 26\pi$

$13\pi$ $\displaystyle 13\pi$

Correct answer:

$26\pi$ $\displaystyle 26\pi$

Explanation:

To find the circumference of a circle, use the equation:

$Circumference=2\pi\cdot Radius$ $\displaystyle Circumference=2\pi\cdot Radius$

Substitute the given value for the radius into the equation:

$Circumference=2\pi\cdot13$ $\displaystyle Circumference=2\pi\cdot13$

$Circumference=26\pi$ $\displaystyle Circumference=26\pi$

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Example Question #52 : Geometry

An ant is standing at the center of a perfectly circular plate. If the ant crawled in a straight line, he would have to crawl 6 inches to reach the edge of the plate. How many inches would he crawl if he crawled a full circle around the edge of the plate?

Possible Answers:

$36\pi$ $\displaystyle 36\pi$

$12\pi$ $\displaystyle 12\pi$

$3\pi$ $\displaystyle 3\pi$

$24\pi$ $\displaystyle 24\pi$

$6\pi$ $\displaystyle 6\pi$

Correct answer:

$12\pi$ $\displaystyle 12\pi$

Explanation:

We need to find the circumference:

$\text{circumference of a circle} = 2\pi r = d\pi$ $\displaystyle \text{circumference of a circle} = 2\pi r = d\pi$

In this formula $\displaystyle r$ stands for the radius and $\displaystyle d$ stands for the diameter.

The distance the ant must crawl to the edge from the center is the radius of the circle.

Plug in 6 inches for $\displaystyle r$:

$\text{circumference of a circle} = 2\pi r = 2*\pi*6 = 12\pi$ $\displaystyle \text{circumference of a circle} = 2\pi r = 2*\pi*6 = 12\pi$

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Example Question #53 : Geometry

If a circle has a radius of $\displaystyle 4$ meters, what is its circumference?

Possible Answers:

$4\pi\ m$ $\displaystyle 4\pi\ m$

$32\pi\ m$ $\displaystyle 32\pi\ m$

$16\pi\ m$ $\displaystyle 16\pi\ m$

$2\pi\ m$ $\displaystyle 2\pi\ m$

$8\pi\ m$ $\displaystyle 8\pi\ m$

Correct answer:

$8\pi\ m$ $\displaystyle 8\pi\ m$

Explanation:

The formula for the circumference of a circle is ${\pi}d$ $\displaystyle {\pi}d$, where $\displaystyle d$ is the diameter. This can also be written as $2{\pi}r$ $\displaystyle 2{\pi}r$, where $\displaystyle r$ is the radius of the circle. We were given the radius, so we take the second formula and plug in $\displaystyle 4$ for $\displaystyle r$.

$2{\pi}r = 2{\pi}(4) = 8{\pi}\ \textup{meters}=8\pi\ m$ $\displaystyle 2{\pi}r = 2{\pi}(4) = 8{\pi}\ \textup{meters}=8\pi\ m$

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Example Question #54 : Geometry

Find the area of a square with a side of 10 inches.

Possible Answers:

$40\ in^{2}$ $\displaystyle 40\ in^{2}$

$80\ in^{2}$ $\displaystyle 80\ in^{2}$

$100\ in^{2}$ $\displaystyle 100\ in^{2}$

$10\ in^{2}$ $\displaystyle 10\ in^{2}$

$16\ in^{2}$ $\displaystyle 16\ in^{2}$

Correct answer:

$100\ in^{2}$ $\displaystyle 100\ in^{2}$

Explanation:

The formula for the area of a square is s^2 $\displaystyle s^2$. Therefore, square 10 and you get 100. Make sure your units are squared.

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Example Question #2 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square with a side length of $\displaystyle 12$?

Possible Answers:

$\displaystyle 36$

144 $\displaystyle 144$

$\displaystyle 48$

$\displaystyle 24$

Correct answer:

144 $\displaystyle 144$

Explanation:

To find the area we square the side length $A=s^{2}$ $\displaystyle A=s^{2}$

In this case we square $\displaystyle 12$ to get $A=12^{2}$ $\displaystyle A=12^{2}$.

The answer for the area in this example is 144 $\displaystyle 144$.

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Example Question #411 : Pre Algebra

What is the area of a square if the length of one side is $\displaystyle 8$?

Possible Answers:

$\displaystyle 64$

$\displaystyle 8$

$\displaystyle 36$

$\displaystyle 32$

$\displaystyle 16$

Correct answer:

$\displaystyle 64$

Explanation:

The area of a quadrilateral is length times width or A=l*w $\displaystyle A=l*w$. With a square, all four sides are equal, so we can say:

A=s*s $\displaystyle A=s*s$.

The problem tells us that each side is $\displaystyle 8$, so we can plug in and solve:

A=8*8 $\displaystyle A=8*8$

A=64 $\displaystyle A=64$

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Example Question #2 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square if each side is $\displaystyle 6$?

Possible Answers:

$\displaystyle 36$

$\displaystyle 24$

$\displaystyle 66$

$\displaystyle 12$

$\displaystyle 18$

Correct answer:

$\displaystyle 36$

Explanation:

The formula for the area of a square is side times side: A=s*s $\displaystyle A=s*s$

Plug in our given information and solve:

A=s*s $\displaystyle A=s*s$

A=6*6 $\displaystyle A=6*6$

A=36 $\displaystyle A=36$

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Example Question #3 : How To Find The Area Of A Square In Pre Algebra

If a square has a perimeter of $\displaystyle 16$, what is the area?

Possible Answers:

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\displaystyle 2$

256 $\displaystyle 256$

$\displaystyle 4$

$\displaystyle 16$

Correct answer:

$\displaystyle 16$

Explanation:

The perimeter of a shape is the sum of the sides of that shape. For a square, all four sides are equal, meaning that $\displaystyle P=s+s+s+ s$.

For this problem 16=4s $\displaystyle 16=4s$.

From there we can solve.

$\frac{16}{4}=s$ $\displaystyle \frac{16}{4}=s$

4=s $\displaystyle 4=s$

The area of a square is equal to side squared.

A=s^2 $\displaystyle A=s^2$

A=4^2 $\displaystyle A=4^2$

A=16 $\displaystyle A=16$

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Example Question #55 : Geometry

What is the area of a square with a side length of $\displaystyle 5$?

Possible Answers:

125 $\displaystyle 125$

$\displaystyle 10$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

$\displaystyle 5$

$\displaystyle 25$

Correct answer:

$\displaystyle 25$

Explanation:

The formula for the area of a square is A=s^2 $\displaystyle A=s^2$.

Plug in our given information.

A=5^2 $\displaystyle A=5^2$

A=25 $\displaystyle A=25$

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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 #16 : How To Find The Circumference Of A Circle In Pre Algebra

Example Question #51 : Geometry

Example Question #52 : Geometry

Example Question #53 : Geometry

Example Question #54 : Geometry

Example Question #2 : How To Find The Area Of A Square In Pre Algebra

Example Question #411 : Pre Algebra

Example Question #2 : How To Find The Area Of A Square In Pre Algebra

Example Question #3 : How To Find The Area Of A Square In Pre Algebra

Example Question #55 : Geometry

All High School Math Resources

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