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Basic Geometry : How to find the length of the diameter

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #322 : Plane Geometry

Find the diameter of a circle whose area is $1156\pi$ .

Possible Answers:

136

Correct answer:

Explanation:

Recall how to find the area of a circle:

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

Next, plug in the information given by the question.

$1156\pi=\pi\times\text{radius}^2$

From this, we can see that we can solve for the radius.

$\text{radius}^2=1156$

$\text{radius}=\sqrt{1156}=34$

Now recall the relationship between the radius and the diameter.

$\text{diameter}=2\times\text{radius}$

Plug in the value of the radius to find the diameter.

$\text{diameter}=2\times 34 = 68$

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Example Question #324 : Circles

Find the diameter of a circle that has a circumference of .

Possible Answers:

$\frac{12}{\pi}$

$\frac{6}{\pi}$

Correct answer:

$\frac{12}{\pi}$

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{12}{\pi}$

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Example Question #321 : Plane Geometry

Find the diameter of a circle that has a circumference of 100 .

Possible Answers:

100

$\frac{50}{\pi}$

$\frac{100}{\pi}$

$\frac{200}{\pi}$

Correct answer:

$\frac{100}{\pi}$

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{100}{\pi}$

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Example Question #24 : Diameter

Find the diameter of a circle that has a circumference of $14\pi$ .

Possible Answers:

$\pi$

Correct answer:

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{14\pi}{\pi}$

Simplify.

$\text{Diameter}=14$

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Example Question #321 : Circles

Find the diameter of a circle that has a circumference of $10\pi$ .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{10\pi}{\pi}$

Simplify.

$\text{Diameter}=10$

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Example Question #26 : Diameter

Find the diameter of a circle that has a circumference of $100\pi$ .

Possible Answers:

100

200

Correct answer:

100

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{100\pi}{\pi}$

Simplify.

$\text{Diameter}=100$

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Example Question #21 : How To Find The Length Of The Diameter

Find the diameter of a circle that has a circumference of .

Possible Answers:

$\frac{36}{\pi}$

$\frac{9}{\pi}$

$\frac{18}{\pi}$

Correct answer:

$\frac{18}{\pi}$

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{18}{\pi}$

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Example Question #28 : Diameter

Find the diameter of a circle that has a circumference of .

Possible Answers:

$\frac{182}{\pi}$

$\frac{91}{\pi}$

$\frac{100}{\pi}$

Correct answer:

$\frac{91}{\pi}$

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{91}{\pi}$

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Example Question #29 : Diameter

Find the diameter of a circle that has a circumference of .

Possible Answers:

$\frac{45}{\pi}$

$\frac{90}{\pi}$

22.5

Correct answer:

$\frac{45}{\pi}$

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{45}{\pi}$

Report an Error

Example Question #22 : How To Find The Length Of The Diameter

Find the diameter of a circle that has a circumference of 12.4 .

Possible Answers:

$\frac{12.4}{\pi}$

24.8

12.4

$\frac{6.2}{\pi}$

Correct answer:

$\frac{12.4}{\pi}$

Explanation:

Recall how to find the circumference of a circle:

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

If we divide both sides of the equation by $\pi$ , then we can write the following equation:

$\text{Diameter}=\frac{\text{Circumference}}{\pi}$

We can substitute in the given information to find the diameter of the circle in the question.

$\text{Diameter}=\frac{12.4}{\pi}$

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Basic Geometry : How to find the length of the diameter

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #322 : Plane Geometry

Example Question #324 : Circles

Example Question #321 : Plane Geometry

Example Question #24 : Diameter

Example Question #321 : Circles

Example Question #26 : Diameter

Example Question #21 : How To Find The Length Of The Diameter

Example Question #28 : Diameter

Example Question #29 : Diameter

Example Question #22 : How To Find The Length Of The Diameter

All Basic Geometry Resources

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