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

What is the area of circle with a radius of ?

Possible Answers:

$18\pi$

$9\pi$

$81\pi$

Correct answer:

$81\pi$

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 $9^{2}=81$

We then multiply it by $\pi$ to get our answer $A=81\pi$ .

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

What is the area of a circle with radius of ?

Possible Answers:

$2\pi$

$3\pi$

$27\pi$

$6\pi$

$9\pi$

Correct answer:

$9\pi$

Explanation:

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

Plug in our given values:

$A=\pi r^2$

$A=\pi*3^2$

$A=9\pi$

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

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

Possible Answers:

$8\pi$

$32\pi$

$4\pi$

$16\pi$

$2\pi$

Correct answer:

$16\pi$

Explanation:

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

Plug in the information given and solve:

$A=\pi * 4^2$

Remember, a number squared is just the same as that number times itself:

$A=\pi*(4*4)$

$A=16\pi$

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

If the area of a circle is $64\pi$ , what is the radius of the circle?

Possible Answers:

Correct answer:

Explanation:

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

Plug in the information given and solve:

$64\pi = \pi r^2$

Notice that the $\pi$ 's cancel out:

64=r^2

Take the square root of both sides:

$\sqrt{64}=\sqrt{r^2}$

8=r

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Example Question #4 : 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:

$66\pi$

$121\pi$

$22\pi$

$11\pi$

$484\pi$

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

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

Possible Answers:

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

$10\pi$

$5\pi$

$\frac{5}{\pi}$

$25\pi$

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

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

Possible Answers:

$6\pi$

$36\pi^2$

$12\pi$

$36\pi$

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

Correct answer:

$36\pi$

Explanation:

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

Plug in our given information:

$A=\pi 6^2$

$A=36\pi$

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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:

$11\pi^2$

$22\pi$

$121\pi$

$484\pi$

$11\pi$

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:

$A=\pi r^2$

$A=\pi *11^2$

$A=121\pi$

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Example Question #9 : How To Find The Area Of A Circle In Pre Algebra

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

Possible Answers:

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

$144\pi$

$6\pi$

$36\pi$

$12\pi$

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:

$A=\pi r^2$

$A=\pi *6^2$

$A=36\pi$

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

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

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

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

Example Question #4 : How To Find The Area Of A Circle In Pre Algebra

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

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

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

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

Example Question #9 : How To Find The Area Of A Circle In Pre Algebra

All High School Math Resources

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