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Common Core: 7th Grade Math : Geometry

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

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Example Questions

Example Question #13 : Area Of A Circle

If this circle has a diameter of 12 inches, what is its area?

Circle_12d

Possible Answers:

$26\pi\ \text{inches}^{2}$

None of the other answers are correct.

$116\ \text{inches}^{2}$

$36\pi\ \text{inches}^{2}$

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

Correct answer:

$36\pi\ \text{inches}^{2}$

Explanation:

To find the area, we need to determine the radius of the circle first.

The radius is calculated as $r=\frac{D}{2}$ , where D is the diameter.

Given that the diameter is 12 inches, the radius is $r=\frac{12}{2}$ , or $r=6\ \text{inches}$ .

Next, we know that the formula for the area of the circle is $A=\pi r^2$ .

Using the radius we just found, we can find the area:

$A=\pi (6)^2=36\pi\ \text{inches}$

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Example Question #13 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$6\pi\textup{ in}^2$

$9\pi\textup{ in}^2$

$8\pi\textup{ in}^2$

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

$5\pi\textup{ in}^2$

Correct answer:

$9\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the radius, so we can use the formula to solve:

$A=3^2\pi$

Solve:

$A=9\pi\textup{ in}^2$

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Example Question #14 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$53\pi\textup{ in}^2$

$50\pi\textup{ in}^2$

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

$52\pi\textup{ in}^2$

$51\pi\textup{ in}^2$

Correct answer:

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

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the radius, so we can use the formula to solve:

$A=7^2\pi$

Solve:

$A=49\pi\textup{ in}^2$

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Example Question #15 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$121\pi\textup{ in}^2$

$122\pi\textup{ in}^2$

$123\pi\textup{ in}^2$

$124\pi\textup{ in}^2$

$120\pi\textup{ in}^2$

Correct answer:

$121\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the radius, so we can use the formula to solve:

$A=11^2\pi$

Solve:

$A=121\pi\textup{ in}^2$

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Example Question #16 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$223\pi\textup{ in}^2$

$224\pi\textup{ in}^2$

$222\pi\textup{ in}^2$

$225\pi\textup{ in}^2$

$226\pi\textup{ in}^2$

Correct answer:

$225\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the radius, so we can use the formula to solve:

$A=15^2\pi$

Solve:

$A=225\pi\textup{ in}^2$

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Example Question #17 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$442\pi\textup{ in}^2$

$440\pi\textup{ in}^2$

$444\pi\textup{ in}^2$

$441\pi\textup{ in}^2$

$443\pi\textup{ in}^2$

Correct answer:

$441\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the radius, so we can use the formula to solve:

$A=21^2\pi$

Solve:

$A=441\pi\textup{ in}^2$

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Example Question #14 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$1\textup,026\pi\textup{ in}^2$

$1\textup,023\pi\textup{ in}^2$

$1\textup,022\pi\textup{ in}^2$

$1\textup,024\pi\textup{ in}^2$

$1\textup,025\pi\textup{ in}^2$

Correct answer:

$1\textup,024\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the radius, so we can use the formula to solve:

$A=32^2\pi$

Solve:

$A=1\textup,024\pi\textup{ in}^2$

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Example Question #951 : Grade 7

What is the area of the circle provided?

Possible Answers:

$1\textup,400\pi\textup{ in}^2$

$1\textup,200\pi\textup{ in}^2$

$1\textup,600\pi\textup{ in}^2$

$400\pi\textup{ in}^2$

$40\pi\textup{ in}^2$

Correct answer:

$400\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the diameter, so we first have to solve for the radius. Remember, the radius is half the diameter:

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

$r=\frac{40}{2}$

r=20

Now that we have the radius we can use the formula to solve:

$A=20^2\pi$

Solve:

$A=400\pi\textup{ in}^2$

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Example Question #22 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$324\pi\textup{ in}^2$

$321\pi\textup{ in}^2$

$322\pi\textup{ in}^2$

$325\pi\textup{ in}^2$

$323\pi\textup{ in}^2$

Correct answer:

$324\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the diameter, so we first have to solve for the radius. Remember, the radius is half the diameter:

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

$r=\frac{36}{2}$

r=18

Now that we have the radius we can use the formula to solve:

$A=18^2\pi$

Solve:

$A=324\pi\textup{ in}^2$

Report an Error

Example Question #23 : Area Of A Circle

What is the area of the circle provided?

Possible Answers:

$193\pi\textup{ in}^2$

$194\pi\textup{ in}^2$

$196\pi\textup{ in}^2$

$195\pi\textup{ in}^2$

$192\pi\textup{ in}^2$

Correct answer:

$196\pi\textup{ in}^2$

Explanation:

In order to solve this problem, we need to recall the formula for the area of a circle:

$A= r^2\pi$

The circle in this question provides us with the diameter, so we first have to solve for the radius. Remember, the radius is half the diameter:

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

$r=\frac{28}{2}$

r=14

Now that we have the radius we can use the formula to solve:

$A=14^2\pi$

Solve:

$A=196\pi\textup{ in}^2$

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Common Core: 7th Grade Math : Geometry

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #13 : Area Of A Circle

Example Question #13 : Area Of A Circle

Example Question #14 : Area Of A Circle

Example Question #15 : Area Of A Circle

Example Question #16 : Area Of A Circle

Example Question #17 : Area Of A Circle

Example Question #14 : Area Of A Circle

Example Question #951 : Grade 7

Example Question #22 : Area Of A Circle

Example Question #23 : Area Of A Circle

All Common Core: 7th Grade Math Resources

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