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Pre-Algebra : Area

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Example Questions

Example Question #2 : Area Of A Circle

A circle has a diameter of inches. What is the area of the circle? Round to the nearest tenth decimal place.

Possible Answers:

$45.8 \textup{ in}^2$

$78.5 \textup{ in}^2$

$314.3 \textup{ in}^2$

$75.4 \textup{ in}^2$

$56.7 \textup{ in}^2$

Correct answer:

$78.5 \textup{ in}^2$

Explanation:

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

First you must find the radius from the diameter.

$r=\frac{1}{2}d \rightarrow r=\frac{1}{2}\cdot 10=5$

In this case it is,

$A=5^2 \cdot \pi = 25\cdot 3.14= 78.5$

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

What is the area of a circle that has a diameter of inches?

Possible Answers:

706.8583

153.938

940

960

940

176.7146

960

Correct answer:

176.7146

Explanation:

The formula for finding the area of a circle is $\pi r^{2}$ . In this formula, represents the radius of the circle. Since the question only gives us the measurement of the diameter of the circle, we must calculate the radius. In order to do this, we divide the diameter by .

$\frac{15}{2}=7.5$

Now we use 7.5 for in our equation.

$\pi (7.5)^{2}=176.7146 \: in^{2}$

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Example Question #11 : Area And Circumference Of A Circle

What is the area of a circle with a diameter equal to 6?

Possible Answers:

$36\pi$

$3\pi$

$9\pi$

$18\pi$

Correct answer:

$9\pi$

Explanation:

First, solve for radius:

$r=\frac{d}{2}=\frac{6}{2}=3$

Then, solve for area:

$A=r^2\pi=3^2\pi=9\pi$

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Example Question #2 : Area Of A Circle

The diameter of a circle is $4\ cm$ . Give the area of the circle.

Possible Answers:

$12.56\ cm^2$

$13\ cm^2$

$13.56\ cm^2$

$12 \ cm^2$

$11.56\ cm^2$

Correct answer:

$12.56\ cm^2$

Explanation:

The area of a circle can be calculated using the formula:

$Area=\frac{\pi d^2}{4}$ ,

where is the diameter of the circle, and $\pi$ is approximately 3.14 .

$Area=\frac{\pi d^2}{4}=\frac{\pi\times 4^2}{4}=4\pi \Rightarrow Area\approx 4\times 3.14\Rightarrow Area\approx 12.56 \ cm^2$

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Example Question #1 : Area Of A Circle

The diameter of a circle is . Give the area of the circle in terms of .

Possible Answers:

12 t^2

11.56 t

11.56 t^2

12.56 t^2

12.56 t

Correct answer:

12.56 t^2

Explanation:

The area of a circle can be calculated using the formula:

$Area=\frac{\pi d^2}{4}$ ,

where is the diameter of the circle and $\pi$ is approximately 3.14 .

$Area=\frac{\pi (4t)^2}{4}=\frac{16\pi t^2}{4}=4\pi t^2 \Rightarrow Area\approx 4\times 3.14\times t^2$

$\Rightarrow Area\approx 12.56t^2$

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Example Question #1 : Area Of A Circle

The circumference of a circle is 12.56 inches. Find the area of the circle.

Let $\pi = 3.14$ .

Possible Answers:

$11\ in^2$

$12\ in^2$

$11.56\ in^2$

$12.56\ in^2$

$13.56\ in^2$

Correct answer:

$12.56\ in^2$

Explanation:

First we need to find the radius of the circle. The circumference of a circle is $Circumference =2\pi r$ , where is the radius of the circle.

$12.56=2\times 3.14\times r\Rightarrow r=2\ in$

The area of a circle is $Area=\pi r^2$ where is the radius of the circle.

$Area=\pi r^2=3.14\times 2^2=12.56\ in^2$

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Example Question #122 : Area

Find the area of a circle that has a radius of .

Possible Answers:

$16\pi$

$12\pi$

$4\pi$

$8\pi$

Correct answer:

$16\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

Since r=4 :

$\text{Area}=\pi\times(4^2)$

$\text{Area}=16\pi$

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Example Question #121 : Pre Algebra

Find the area of a circle that has a radius of .

Possible Answers:

$4x\pi$

$x^2\pi$

$x\pi$

$2x\pi$

Correct answer:

$x^2\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

Since r=x :

$\text{Area}=\pi\times(x^2)$

$\text{Area}=x^2\pi$

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Example Question #122 : Area

Find the area of a circle that has a radius of .

Possible Answers:

$17\pi$

$34\pi$

$128\pi$

$289\pi$

Correct answer:

$289\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

Since r=17 :

$\text{Area}=\pi\times(17^2)$

$\text{Area}=289\pi$

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Example Question #121 : Area

Find the area of a circle with a diameter of .

Possible Answers:

$24\pi$

$12\pi$

$144\pi$

$36\pi$

Correct answer:

$36\pi$

Explanation:

Use the formula:

$\text{Area}=\pi\times r^2$

Where corresponds to the circle's radius.

We were given the circle's diameter, .

d=2r

Substitute.

12=2r

Divide both sides by .

$\frac{12}{2}=r$

r=6

Solve for the area of the circle.

$\text{Area}=\pi\times(6^2)$

$\text{Area}=36\pi$

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Pre-Algebra : Area

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #2 : Area Of A Circle

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

Example Question #11 : Area And Circumference Of A Circle

Example Question #2 : Area Of A Circle

Example Question #1 : Area Of A Circle

Example Question #1 : Area Of A Circle

Example Question #122 : Area

Example Question #121 : Pre Algebra

Example Question #122 : Area

Example Question #121 : Area

All Pre-Algebra Resources

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