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GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Area Of A Circle

What is the area of the circle with a radius of 25?

Possible Answers:

$150\pi$

$125\pi$

$5\pi$

$250\pi$

$625 \pi$

Correct answer:

$625 \pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (25)^2$

Simplify the equation.

$A=\pi (25)(25) = 625 \pi$

The answer is: $625 \pi$

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Example Question #3 : Area Of A Circle

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

Possible Answers:

$24\pi ^2$

$144\pi ^2$

$36\pi$

$24\pi$

$144\pi$

Correct answer:

$144\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (12)^2 = 144\pi$

The answer is: $144\pi$

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Example Question #4 : Area Of A Circle

What is the area of a circle with the diameter of 18?

Possible Answers:

$81\pi$

$432\pi$

$343\pi$

$324 \pi$

$36\pi$

Correct answer:

$81\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

The radius is half the diameter, or 9.

Substitute the value of the radius in to the formula.

$A=\pi( 9)^2 = 81\pi$

The answer is: $81\pi$

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Example Question #4 : Area Of A Circle

Find the area of a circle with a radius of $2\pi$ .

Possible Answers:

$2\pi ^2$

$2\pi ^3$

$4\pi ^3$

$4\pi$

$4\pi ^2$

Correct answer:

$4\pi ^3$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (2\pi)^2$

Simplify this equation.

$A=\pi (2\pi)(2\pi) = 4\pi ^3$

The answer is: $4\pi ^3$

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Example Question #5 : Area Of A Circle

Find the area of a circle with a diameter of 22cm.

Possible Answers:

$88\pi \text{ cm}^2$

$121\pi \text{ cm}^2$

$100\pi \text{ cm}^2$

$144\pi \text{ cm}^2$

$44\pi \text{ cm}^2$

Correct answer:

$121\pi \text{ cm}^2$

Explanation:

To find the area of a circle, we will use the following formula:

$A = \pi \cdot r^2$

where r is the radius of the circle.

Now, we know the diameter of the circle is 22cm. We also know the diameter is two times the radius. Therefore, the radius is 11cm.

So, we can substitute. We get

$A = \pi \cdot (11\text{cm})^2$

$A = \pi \cdot 121\text{cm}^2$

$A = 121\pi \text{ cm}^2$

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Example Question #4 : Area Of A Circle

Find the area of a circle with a radius of 8in.

Possible Answers:

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

$32\pi \text{ in}^2$

$16\pi \text{ in}^2$

$72\pi \text{ in}^2$

$64\pi \text{ in}^2$

Correct answer:

$64\pi \text{ in}^2$

Explanation:

To find the area of a circle, we will use the following formula:

$A = \pi \cdot r^2$

where r is the radius of the circle.

Now, we know the radius of the circle is 8in. So, we can substitute. We get

$A = \pi \cdot (8\text{in})^2$

$A = \pi \cdot 64\text{in}^2$

$A = 64\pi \text{ in}^2$

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Example Question #104 : Geometry And Graphs

Determine the area of a circle if the radius is .

Possible Answers:

$400\pi$

$1600\pi$

$160\pi$

$80\pi$

$40\pi$

Correct answer:

$400\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi(20)^2 = 400\pi$

The answer is: $400\pi$

Report an Error

Example Question #105 : Geometry And Graphs

Find the area of a circle with a circumference of $100 \pi$ .

Possible Answers:

$2500\pi$

$500\pi$

$250\pi$

$1000\pi$

$100\pi$

Correct answer:

$2500\pi$

Explanation:

Write the formula for the circumference of a circle.

$C=2\pi r$

Substitute the circumference.

$100\pi=2\pi r$

Divide by $2\pi$ on both sides.

$\frac{100\pi}{2\pi}=\frac{2\pi r}{2\pi}$

r=50

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (50)^2 = 2500\pi$

The answer is: $2500\pi$

Report an Error

Example Question #12 : Area Of A Circle

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

Possible Answers:

$18\pi$

$144\pi$

$36\pi$

$72\pi$

$16\pi$

Correct answer:

$36\pi$

Explanation:

Write the formula for the area of a circle.

$A= \pi r^2$

The radius is half the diameter.

$r= \frac{d}{2} = \frac{12}{2} = 6$

Substitute the radius into the equation.

$A= \pi( 6)^2 = 36\pi$

The answer is: $36\pi$

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Example Question #106 : Geometry And Graphs

Find the area of a circle if the circumference is $16\pi^4$ .

Possible Answers:

$256\pi ^8$

$64\pi ^7$

$64\pi ^6$

$64\pi ^4$

$64\pi ^{10}$

Correct answer:

$64\pi ^7$

Explanation:

Write the formula for the circumference of a circle.

$C=2\pi r$

Substitute the circumference.

$16\pi^4 = 2\pi r$

Divide by $2\pi$ on both sides.

$\frac{16\pi^4 }{2\pi}= \frac{2\pi r}{2\pi}$

$r=8\pi ^3$

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius.

$A=\pi (8\pi ^3)^2 = \pi(8\pi ^3)(8\pi ^3) =64\pi ^7$

The answer is: $64\pi ^7$

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All GED Math Resources

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GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #3 : Area Of A Circle

Example Question #3 : Area Of A Circle

Example Question #4 : Area Of A Circle

Example Question #4 : Area Of A Circle

Example Question #5 : Area Of A Circle

Example Question #4 : Area Of A Circle

Example Question #104 : Geometry And Graphs

Example Question #105 : Geometry And Graphs

Example Question #12 : Area Of A Circle

Example Question #106 : Geometry And Graphs

All GED Math Resources

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