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Basic Geometry : Circles

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Example Questions

Example Question #13 : How To Find Circumference

Find the circumference of a circle with a radius of $\displaystyle 15$.

Possible Answers:

$15\pi$ $\displaystyle 15\pi$

$175\pi$ $\displaystyle 175\pi$

$45\pi$ $\displaystyle 45\pi$

$30\pi$ $\displaystyle 30\pi$

Correct answer:

$30\pi$ $\displaystyle 30\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

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

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

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

Solve.

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

Simplify.

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

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Example Question #11 : Circumference Of A Circle

Find the circumference of a circle with a radius of $\displaystyle 14$.

Possible Answers:

$42\pi$ $\displaystyle 42\pi$

$14\pi$ $\displaystyle 14\pi$

$28\pi$ $\displaystyle 28\pi$

$7\pi$ $\displaystyle 7\pi$

Correct answer:

$28\pi$ $\displaystyle 28\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

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

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

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

Solve.

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

Simplify.

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

Report an Error

Example Question #22 : How To Find Circumference

Find the circumference of a circle with a radius of $\displaystyle 51$.

Possible Answers:

$210\pi$ $\displaystyle 210\pi$

$102\pi$ $\displaystyle 102\pi$

$27\pi$ $\displaystyle 27\pi$

$51\pi$ $\displaystyle 51\pi$

Correct answer:

$102\pi$ $\displaystyle 102\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

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

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

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

Solve.

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

Simplify.

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

Report an Error

Example Question #21 : How To Find Circumference

Find the circumference of a circle with a radius of 102. $\displaystyle 102.$

Possible Answers:

$204\pi$ $\displaystyle 204\pi$

$51\pi$ $\displaystyle 51\pi$

$102\pi$ $\displaystyle 102\pi$

$192\pi$ $\displaystyle 192\pi$

Correct answer:

$204\pi$ $\displaystyle 204\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

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

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

$\text{Circumference}=2\times 102 \times\pi$ $\displaystyle \text{Circumference}=2\times 102 \times\pi$

Solve.

$\text{Circumference}=204\times\pi$ $\displaystyle \text{Circumference}=204\times\pi$

Simplify.

$\text{Circumference}=204\pi$ $\displaystyle \text{Circumference}=204\pi$

Report an Error

Example Question #212 : Basic Geometry

Find the circumference of a circle with a radius of 1.5 $\displaystyle 1.5$.

Possible Answers:

$4.5\pi$ $\displaystyle 4.5\pi$

$1.5\pi$ $\displaystyle 1.5\pi$

$6\pi$ $\displaystyle 6\pi$

$3\pi$ $\displaystyle 3\pi$

Correct answer:

$3\pi$ $\displaystyle 3\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

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

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

$\text{Circumference}=2\times 1.5 \times\pi$ $\displaystyle \text{Circumference}=2\times 1.5 \times\pi$

Solve.

$\text{Circumference}=3\times\pi$ $\displaystyle \text{Circumference}=3\times\pi$

Simplify.

$\text{Circumference}=3\pi$ $\displaystyle \text{Circumference}=3\pi$

Report an Error

Example Question #213 : Basic Geometry

Find the circumference of a circle with a radius of $\displaystyle 90$.

Possible Answers:

$90\pi$ $\displaystyle 90\pi$

$120\pi$ $\displaystyle 120\pi$

$45\pi$ $\displaystyle 45\pi$

$180\pi$ $\displaystyle 180\pi$

Correct answer:

$180\pi$ $\displaystyle 180\pi$

Explanation:

Recall the formula for finding the circumference of a circle:

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

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

$\text{Circumference}=2\times 90 \times\pi$ $\displaystyle \text{Circumference}=2\times 90 \times\pi$

Solve.

$\text{Circumference}=180 \times\pi$ $\displaystyle \text{Circumference}=180 \times\pi$

Simplify.

$\text{Circumference}=180\pi$ $\displaystyle \text{Circumference}=180\pi$

Report an Error

Example Question #211 : Circles

What is the circumference of a circle whose radius is $\displaystyle 5$.

Possible Answers:

$15\pi$ $\displaystyle 15\pi$

$5\pi$ $\displaystyle 5\pi$

$25\pi$ $\displaystyle 25\pi$

$10\pi$ $\displaystyle 10\pi$

Correct answer:

$10\pi$ $\displaystyle 10\pi$

Explanation:

To find circumference, you must use the follow equation.

$C=2\pi{r}=2\pi(5)=10\pi$ $\displaystyle C=2\pi{r}=2\pi(5)=10\pi$

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Example Question #211 : Basic Geometry

Find the circumference of a circle that is inscribed in a square with side lengths of $\displaystyle 2$.

Possible Answers:

$4\pi$ $\displaystyle 4\pi$

$2\pi$ $\displaystyle 2\pi$

$\pi$ $\displaystyle \pi$

$8\pi$ $\displaystyle 8\pi$

Correct answer:

$2\pi$ $\displaystyle 2\pi$

Explanation:

Notice that when a circle is inscribed in a square, the side length of the square is also the diameter of the circle.

Recall how to find the circumference of a circle:

$\text{Circumference}=\text{Diameter}\times\pi$ $\displaystyle \text{Circumference}=\text{Diameter}\times\pi$

Plug in the given diameter to find the circumference.

$\text{Circumference}=2\pi$ $\displaystyle \text{Circumference}=2\pi$

Report an Error

Example Question #212 : Basic Geometry

Find the circumference of a circle that is inscribed in a square that has side lengths of $\displaystyle 3$.

Possible Answers:

$6\pi$ $\displaystyle 6\pi$

$3\pi$ $\displaystyle 3\pi$

$\frac{9\pi}{4}$ $\displaystyle \frac{9\pi}{4}$

$\frac{3\pi}{2}$ $\displaystyle \frac{3\pi}{2}$

Correct answer:

$3\pi$ $\displaystyle 3\pi$

Explanation:

Notice that when a circle is inscribed in a square, the side length of the square is also the diameter of the circle.

Recall how to find the circumference of a circle:

$\text{Circumference}=\text{Diameter}\times\pi$ $\displaystyle \text{Circumference}=\text{Diameter}\times\pi$

Plug in the given diameter to find the circumference.

$\text{Circumference}=3\pi$ $\displaystyle \text{Circumference}=3\pi$

Report an Error

Example Question #213 : Basic Geometry

Find the circumference of a circle that is inscribed in a square that has side lengths of $\displaystyle 4$.

Possible Answers:

$2\pi$ $\displaystyle 2\pi$

$16\pi$ $\displaystyle 16\pi$

$4\pi$ $\displaystyle 4\pi$

$8\pi$ $\displaystyle 8\pi$

Correct answer:

$4\pi$ $\displaystyle 4\pi$

Explanation:

Notice that when a circle is inscribed in a square, the side length of the square is also the diameter of the circle.

Recall how to find the circumference of a circle:

$\text{Circumference}=\text{Diameter}\times\pi$ $\displaystyle \text{Circumference}=\text{Diameter}\times\pi$

Plug in the given diameter to find the circumference.

$\text{Circumference}=4\pi$ $\displaystyle \text{Circumference}=4\pi$

Report an Error

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Basic Geometry : Circles

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #13 : How To Find Circumference

Example Question #11 : Circumference Of A Circle

Example Question #22 : How To Find Circumference

Example Question #21 : How To Find Circumference

Example Question #212 : Basic Geometry

Example Question #213 : Basic Geometry

Example Question #211 : Circles

Example Question #211 : Basic Geometry

Example Question #212 : Basic Geometry

Example Question #213 : Basic Geometry

All Basic Geometry Resources

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