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

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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 2.5 ?

Possible Answers:

$1.25\pi$

$5\pi$

$6.25\pi$

$7.5\pi$

$3.125\pi$

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

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

Possible Answers:

$8\pi$

$4\pi$

$32\pi$

$64\pi$

$16\pi$

Correct answer:

$64\pi$

Explanation:

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

Plug in our radius.

$A=\pi r^2$

$A=\pi *8^2$

$A=\pi*64$

$A=64\pi$

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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:

$32\pi$

$4\pi$

$16\pi$

$8\pi$

$64\pi$

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.

$A=\pi r^2$

$A=\pi (4)^2$

$A=\pi*16$

$A=16\pi$

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Example Question #14 : How To Find The Area Of A Circle In Pre Algebra

What is the area of a circle with diameter of ?

Possible Answers:

$64\pi$

$16\pi$

$32\pi$

$256\pi$

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:

$A=\pi r^2$

$A=\pi (8)^2$

$A=\pi*64$

$A=64\pi$

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Example Question #15 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

$A=16\pi$

$A=8\pi$

$A=12\pi$

$A=4\pi$

Correct answer:

$A=16\pi$

Explanation:

To find the area of a circle, you must plug the radius in for in the following equation:

In this case the radius is , so we plug in for to get $A=\pi(4^{2})$ .

$A=16\pi$

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Example Question #16 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

$7\pi$

$196\pi$

$196\pi^2$

$49\pi$

Correct answer:

$49\pi$

Explanation:

The formula for 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 14=2r . Therefore 7=r .

Plug this value into our given equation.

$A=\pi r^2$

$A=\pi (7)^2$

$A=\pi *49$

$A=49\pi$

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Example Question #121 : Geometry

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

Possible Answers:

$A=144\pi$

$A=188\pi$

$A=24\pi$

$A=12\pi$

Correct answer:

$A=144\pi$

Explanation:

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

In this case the radius is so we plug it into to get

$A=12^{2}\pi$

We then multiply it by to get our answer

$A=144\pi$ .

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Example Question #18 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

$A=14\pi$

$A=42\pi$

$A=7\pi$

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 so we plug it into to get

We then multiply it by to get our answer .

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Example Question #19 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

144

Correct answer:

Explanation:

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

Plug in our given values.

$A=\pi r^2$

$144\pi=\pi r^2$

Notice the $\pi$ 's cancel out.

144=r^2

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

12=r

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Example Question #20 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

84.5

$13\pi$

$26\pi$

Correct answer:

Explanation:

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

Plug in our given values.

$A=\pi r^2$

$169\pi=\pi r^2$

Notice that the pi cancels out.

169=r^2

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

13=r

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

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

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

Example Question #12 : 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 #14 : How To Find The Area Of A Circle In Pre Algebra

Example Question #15 : How To Find The Area Of A Circle In Pre Algebra

Example Question #16 : How To Find The Area Of A Circle In Pre Algebra

Example Question #121 : Geometry

Example Question #18 : How To Find The Area Of A Circle In Pre Algebra

Example Question #19 : How To Find The Area Of A Circle In Pre Algebra

Example Question #20 : How To Find The Area Of A Circle In Pre Algebra

All High School Math Resources

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