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High School Math : How to find the area of a circle in pre-algebra

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Example Questions

Example Question #21 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

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

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

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

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

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 #22 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

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

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

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

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

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

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 #23 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

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

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

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

$\displaystyle 9$

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

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 #24 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

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

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

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

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

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

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

Find the diameter of a circle with an area of $64\pi$ $\displaystyle 64\pi$ .

Possible Answers:

$\displaystyle 12$

$\displaystyle 8$

$\displaystyle 24$

$\displaystyle 64$

$\displaystyle 16$

Correct answer:

$\displaystyle 16$

Explanation:

The area formula is $A = \pi r^{2}$ $\displaystyle A = \pi r^{2}$

Plugging in the given number for A, we can solve for the radius and find that the radius is 8.

The diameter is twice the radius, so the diameter is $\displaystyle 16$ .

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High School Math : How to find the area of a circle in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #21 : How To Find The Area Of A Circle In Pre Algebra

Example Question #22 : How To Find The Area Of A Circle In Pre Algebra

Example Question #23 : How To Find The Area Of A Circle In Pre Algebra

Example Question #24 : How To Find The Area Of A Circle In Pre Algebra

Example Question #755 : High School Math

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

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

All High School Math Resources

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