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High School Math : High School Math

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 #751 : High School Math

What is the area of a circle with a radius of $\displaystyle 12$ ?

Possible Answers:

$A=12\pi$ $\displaystyle A=12\pi$

$A=188\pi$ $\displaystyle A=188\pi$

$A=144\pi$ $\displaystyle A=144\pi$

$A=24\pi$ $\displaystyle A=24\pi$

Correct answer:

$A=144\pi$ $\displaystyle A=144\pi$

Explanation:

To find the area of a circle you must plug the radius into in the following equation

In this case the radius is $\displaystyle 12$ so we plug it into to get

$A=12^{2}\pi$ $\displaystyle A=12^{2}\pi$

We then multiply it by to get our answer

$A=144\pi$ $\displaystyle A=144\pi$ .

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Example Question #17 : How To Find The Area Of A Circle In Pre Algebra

What is the area of a circle with a radius of $\displaystyle 7$ ?

Possible Answers:

$A=7\pi$ $\displaystyle A=7\pi$

$A=42\pi$ $\displaystyle A=42\pi$

$A=14\pi$ $\displaystyle A=14\pi$

Correct answer:

Explanation:

To find the area of a circle you must plug the radius into in the following equation

In this case the radius is $\displaystyle 7$ so we plug it into to get

We then multiply it by to get our answer .

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Example Question #751 : High School Math

What is the radius of a circle with an area of $144\pi$ $\displaystyle 144\pi$ ?

Possible Answers:

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 72$

$\displaystyle 24$

144 $\displaystyle 144$

Correct answer:

$\displaystyle 12$

Explanation:

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

Plug in our given values.

$A=\pi r^2$ $\displaystyle A=\pi r^2$

$144\pi=\pi r^2$ $\displaystyle 144\pi=\pi r^2$

Notice the $\pi$ $\displaystyle \pi$ 's cancel out.

144=r^2 $\displaystyle 144=r^2$

$\sqrt{144}=\sqrt{r^2}$ $\displaystyle \sqrt{144}=\sqrt{r^2}$

12=r $\displaystyle 12=r$

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Example Question #471 : Pre Algebra

What is the diameter of a circle with an area of $169\pi$ $\displaystyle 169\pi$ ?

Possible Answers:

$\displaystyle 13$

84.5 $\displaystyle 84.5$

$\displaystyle 26$

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

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

Correct answer:

$\displaystyle 26$

Explanation:

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

Plug in our given values.

$A=\pi r^2$ $\displaystyle A=\pi r^2$

$169\pi=\pi r^2$ $\displaystyle 169\pi=\pi r^2$

Notice that the pi cancels out.

169=r^2 $\displaystyle 169=r^2$

$\sqrt{169}=\sqrt{r^2}$ $\displaystyle \sqrt{169}=\sqrt{r^2}$

13=r $\displaystyle 13=r$

The diameter is twice the radius or d=2r $\displaystyle d=2r$ .

For this circle that means that $\displaystyle d=2*13=26$ .

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Example Question #751 : High School Math

What is the area of circle with a radius of $\displaystyle 7$ ?

Possible Answers:

$7\pi$ $\displaystyle 7\pi$

$49\pi$ $\displaystyle 49\pi$

$14\pi$ $\displaystyle 14\pi$

$70\pi$ $\displaystyle 70\pi$

Correct answer:

$49\pi$ $\displaystyle 49\pi$

Explanation:

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

$Area=\pi(radius^{2})$ $\displaystyle Area=\pi(radius^{2})$

Substitute the given value for radius:

$Area=\pi(7^{2})$ $\displaystyle Area=\pi(7^{2})$

$Area=49\pi$ $\displaystyle Area=49\pi$

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Example Question #752 : High School Math

Find the area of a circle with a radius of 12 inches.

Possible Answers:

$112\pi \ in^{2}$ $\displaystyle 112\pi \ in^{2}$

$144\pi \ in^{2}$ $\displaystyle 144\pi \ in^{2}$

$12\pi \ in^{2}$ $\displaystyle 12\pi \ in^{2}$

$48\pi \ in^{2}$ $\displaystyle 48\pi \ in^{2}$

$24\pi \ in^{2}$ $\displaystyle 24\pi \ in^{2}$

Correct answer:

$144\pi \ in^{2}$ $\displaystyle 144\pi \ in^{2}$

Explanation:

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

Plug your radius value in and you get $144\pi$ $\displaystyle 144\pi$ .

Make sure your units are squared.

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Example Question #753 : High School Math

What is the area of a circle with diameter $\displaystyle 6$ ?

Possible Answers:

$9\pi$ $\displaystyle 9\pi$

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

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

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

$\displaystyle 9$

Correct answer:

$9\pi$ $\displaystyle 9\pi$

Explanation:

The area of a circle is calculated with the equation $A=\pi r^2$ $\displaystyle A=\pi r^2$ .

$\displaystyle r$ is half of the diameter, which in our case is 3.

$A=\pi r^2= (3)^2\pi=9\pi$ $\displaystyle A=\pi r^2= (3)^2\pi=9\pi$

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Example Question #754 : High School Math

Find the area of a circle with a radius of 7 inches.

Possible Answers:

$14\pi \ in^{2}$ $\displaystyle 14\pi \ in^{2}$

$149\pi \ in^{2}$ $\displaystyle 149\pi \ in^{2}$

$117\pi \ in^{2}$ $\displaystyle 117\pi \ in^{2}$

$7\pi \ in^{2}$ $\displaystyle 7\pi \ in^{2}$

$49\pi \ in^{2}$ $\displaystyle 49\pi \ in^{2}$

Correct answer:

$49\pi \ in^{2}$ $\displaystyle 49\pi \ in^{2}$

Explanation:

Use the formula for the area of a circle, $A=\pi r^{2}$ $\displaystyle A=\pi r^{2}$ , and plug in 7 for the radius to get $49\pi$ $\displaystyle 49\pi$ . Make sure your answer is in units squared.

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Example Question #755 : High School Math

Find the area of a circle with a circumference of $26\pi$ $\displaystyle 26\pi$ .

Possible Answers:

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

$52\pi$ $\displaystyle 52\pi$

225 $\displaystyle 225$

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

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

Correct answer:

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

Explanation:

The circumference equation is $C = 2\pi r$ $\displaystyle C = 2\pi r$

If we plug $26\pi$ $\displaystyle 26\pi$ into the equation, we can solve for the radius, which is $\displaystyle 13$ .

Now, we look for the area of the circle based on the equation $A = \pi r^{2}$ $\displaystyle A = \pi r^{2}$

$A = 169\pi$ $\displaystyle A = 169\pi$

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Example Question #25 : How To Find The Area Of A Circle In Pre Algebra

The area of a circle is $49 \pi$ $\displaystyle 49 \pi$ . What is its radius?

Possible Answers:

$\displaystyle 21$

$\displaystyle 14$

3.5 $\displaystyle 3.5$

$\displaystyle 49$

$\displaystyle 7$

Correct answer:

$\displaystyle 7$

Explanation:

Here, we are given the area of a circle and asked to solve for the radius. We know that the formula for the area of a circle is $A = \pi(r)^{2}$ $\displaystyle A = \pi(r)^{2}$

Plugging in the area, we can cancel out the pi on each side of the equation, so that

$r^{2} = 49$ $\displaystyle r^{2} = 49$

Taking the square root, we find that r = 7 $\displaystyle r = 7$

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All High School Math Resources

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High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #751 : High School Math

Example Question #17 : How To Find The Area Of A Circle In Pre Algebra

Example Question #751 : High School Math

Example Question #471 : Pre Algebra

Example Question #751 : High School Math

Example Question #752 : High School Math

Example Question #753 : High School Math

Example Question #754 : High School Math

Example Question #755 : High School Math

Example Question #25 : How To Find The Area Of A Circle In Pre Algebra

All High School Math Resources

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