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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 #11 : How To Find The Length Of The Diameter

Find the diameter of a circle that has an area of $169\pi$ .

Possible Answers:

$26\pi$

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.

$169\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=169$

$\text{radius}=\sqrt{169}=13$

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.

$\text{diameter}=2\times 13 = 26$

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Example Question #12 : How To Find The Length Of The Diameter

Find the diameter of a circle whose area is $49\pi$ .

Possible Answers:

$7\pi$

$14\pi$

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.

$49\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=49$

$\text{radius}=\sqrt{49}=7$

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.

$\text{diameter}=2\times 7 = 14$

Report an Error

Example Question #12 : Diameter

Find the diameter of a circle whose area is $676\pi$ .

Possible Answers:

104

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.

$676\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=676$

$\text{radius}=\sqrt{676}=26$

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.

$\text{diameter}=2\times 26 = 52$

Report an Error

Example Question #14 : How To Find The Length Of The Diameter

Find the diameter of a circle whose area is $324\pi$ .

Possible Answers:

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.

$324\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=324$

$\text{radius}=\sqrt{324}=18$

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.

$\text{diameter}=2\times 18 = 36$

Report an Error

Example Question #13 : How To Find The Length Of The Diameter

Find the diameter of a circle whose area is $289\pi$ .

Possible Answers:

8.5

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.

$289\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=289$

$\text{radius}=\sqrt{289}=17$

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.

$\text{diameter}=2\times 17 = 34$

Report an Error

Example Question #12 : Diameter

Find the diameter of a circle whose area is $\frac{1}{4}\pi$ .

Possible Answers:

$\frac{1}{4}$

$\frac{1}{2}$

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.

$\frac{1}{4}\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=\frac{1}{4}$

$\text{radius}=\sqrt{\frac{1}{4}}=\frac{1}{2}$

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.

$\text{diameter}=2\times \frac{1}{2} = 1$

Report an Error

Example Question #13 : Diameter

Find the diameter of a circle whose area is $\frac{1}{16}\pi$ .

Possible Answers:

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{8}$

Correct answer:

$\frac{1}{2}$

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.

$\frac{1}{16}\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=\frac{1}{16}$

$\text{radius}=\sqrt{\frac{1}{16}}=\frac{1}{4}$

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.

$\text{diameter}=2\times \frac{1}{4} = \frac{1}{2}$

Report an Error

Example Question #322 : Plane Geometry

Find the diameter of a circle whose area is $484\pi$ .

Possible Answers:

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.

$484\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=484$

$\text{radius}=\sqrt{484}=22$

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.

$\text{diameter}=2\times 22 = 44$

Report an Error

Example Question #12 : How To Find The Length Of The Diameter

Find the diameter of a circle whose area is $3025\pi$ .

Possible Answers:

110

220

Correct answer:

110

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.

$3025\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=3025$

$\text{radius}=\sqrt{3025}=55$

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.

$\text{diameter}=2\times 55 = 110$

Report an Error

Example Question #19 : How To Find The Length Of The Diameter

Find the diameter of a circle whose area is $529\pi$ .

Possible Answers:

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.

$529\pi=\pi\times\text{radius}^2$

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

$\text{radius}^2=529$

$\text{radius}=\sqrt{529}=23$

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.

$\text{diameter}=2\times 23 = 46$

Report an Error

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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 #11 : How To Find The Length Of The Diameter

Example Question #12 : How To Find The Length Of The Diameter

Example Question #12 : Diameter

Example Question #14 : How To Find The Length Of The Diameter

Example Question #13 : How To Find The Length Of The Diameter

Example Question #12 : Diameter

Example Question #13 : Diameter

Example Question #322 : Plane Geometry

Example Question #12 : How To Find The Length Of The Diameter

Example Question #19 : How To Find The Length Of The Diameter

All Basic Geometry Resources

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