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Common Core: 7th Grade Math : Know and Use the Formulas for the Area and Circumference of a Circle: CCSS.Math.Content.7.G.B.4

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Example Questions

Example Question #3 : Circumference Of A Circle

Find the circumference of a circle with a radius of 0.9 .

Possible Answers:

$0.64\pi$

$0.9\pi$

$1.8\pi$

$0.81\pi$

Correct answer:

$1.8\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 0.9 \times\pi$

Solve.

$\text{Circumference}=1.8\times\pi$

Simplify.

$\text{Circumference}=1.8\pi$

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Example Question #42 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Find the circumference of a circle with a radius of 2.4 .

Possible Answers:

$9.6\pi$

$2.4\pi$

$4.8\pi$

$1.2\pi$

Correct answer:

$4.8\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 2.4 \times\pi$

Solve.

$\text{Circumference}=4.8\times\pi$

Simplify.

$\text{Circumference}=4.8\pi$

Report an Error

Example Question #43 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Find the circumference of a circle with a radius of .

Possible Answers:

$2500\pi$

$75\pi$

$100\pi$

$50\pi$

Correct answer:

$100\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 50 \times\pi$

Solve.

$\text{Circumference}=100 \times\pi$

Simplify.

$\text{Circumference}=100\pi$

Report an Error

Example Question #44 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Find the circumference of a circle with a radius of .

Possible Answers:

$45\pi$

$15\pi$

$175\pi$

$30\pi$

Correct answer:

$30\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 15 \times\pi$

Solve.

$\text{Circumference}=30 \times\pi$

Simplify.

$\text{Circumference}=30\pi$

Report an Error

Example Question #45 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Find the circumference of a circle with a radius of .

Possible Answers:

$7\pi$

$14\pi$

$42\pi$

$28\pi$

Correct answer:

$28\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 14 \times\pi$

Solve.

$\text{Circumference}=28 \times\pi$

Simplify.

$\text{Circumference}=28\pi$

Report an Error

Example Question #46 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Find the circumference of a circle with a radius of .

Possible Answers:

$51\pi$

$210\pi$

$102\pi$

$27\pi$

Correct answer:

$102\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

$\text{Circumference}=2\times\text{radius}\times\pi$

We can substitute in the value for the radius in order to find the circumference of the circle in question.

$\text{Circumference}=2\times 51 \times\pi$

Solve.

$\text{Circumference}=102 \times\pi$

Simplify.

$\text{Circumference}=102\pi$

Report an Error

Example Question #41 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Find the circumference of a circle given the radius is 7.

Possible Answers:

$14\pi$

$49\pi$

Correct answer:

$14\pi$

Explanation:

To solve, simply use the formula for the circumference of a circle. Thus,

$C=2\pi{r}=2*\pi*7=14\pi$

Another way to similarly solve this problem is to remember that circumference is just pi times the diameter. To find the diameter, remember "di" means two, thus two radii. So, if you multiply the radius by 2, then you have the diameter. Then, just multiply by pi.

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Example Question #101 : How To Find Circumference

A circle has a radius of 3.5 cm . What is the circumference of the circle?

Possible Answers:

$49\pi cm$

$3.5\pi cm$

$7\pi cm$

$\pi cm$

$12.25\pi cm$

Correct answer:

$7\pi cm$

Explanation:

The formula to find the circumference of a cirlce using the radius is:

$C=2\pi r$

The radius is 3.5 cm , so we plug that into the formula:

$C=2\pi (3.5)$

$C=7\pi cm$

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Example Question #151 : Geometry

What is the circumference of a circle with a radius of $5.2\textup{ in}$ ?

Possible Answers:

$22.8\textup{ in}$

$49.3\textup{ in}$

$16.3\textup{ in}$

$32.7\textup{ in}$

$10.4\textup{ in}$

(Round your answer to the nearest tenth.)

Correct answer:

$32.7\textup{ in}$

Explanation:

The circumference is given by the formula:

$C=2\pi r$

where is the radius.

$2\pi (5.2)=32.7\ in$

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Example Question #152 : Geometry

What is the circumference of the circle provided?

Possible Answers:

$6\pi\textup{ in}$

$5\pi\textup{ in}$

$3\pi\textup{ in}$

$2\pi\textup{ in}$

$4\pi\textup{ in}$

Correct answer:

$6\pi\textup{ in}$

Explanation:

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

$C=2r\pi$ or $C=d\pi$

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

$C=2(3)\pi$

Solve:

$C=6\pi\textup{ in}$

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Common Core: 7th Grade Math : Know and Use the Formulas for the Area and Circumference of a Circle: CCSS.Math.Content.7.G.B.4

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #3 : Circumference Of A Circle

Example Question #42 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Example Question #43 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Example Question #44 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Example Question #45 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Example Question #46 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Example Question #41 : Know And Use The Formulas For The Area And Circumference Of A Circle: Ccss.Math.Content.7.G.B.4

Example Question #101 : How To Find Circumference

Example Question #151 : Geometry

Example Question #152 : Geometry

All Common Core: 7th Grade Math Resources

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