Middle School

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Find the radius of a circle with a circumference of 240 inches.

A. 12.37 inches
B. 38.2 inches
C. 76.4 inches
D. 8.74 inches

Answer :

The radius of the circle is 38.2 inches.

Given that,

The circumference of the circle is 240 inches.

We have to determine,

The radius of the circle.

According to the question,

To determine the radius of the circle following all the steps given below.

The circumference of the circle is 240 inches.

The circumference of the circle is 2πr.

Where r is the radius of the circle.

and the value of the π is 22/7.

Therefore,

The radius of the circle is,

[tex]\rm Circumference \ of \ the \ circle = 2 \pi r\\\\[/tex]

Substitute all the values in the formula,

[tex]\rm Circumference \ of \ the \ circle = 2 \pi r\\\\240 = 2 \times \dfrac{22}{7} \times r\\\\240 = \dfrac{44}{7} \times r\\\\r = \dfrac{240 \times 7}{44}\\\\r = \dfrac{1680}{44}\\\\r = 38.2 \ inches[/tex]

Hence, The radius of the circle is 38.2 inches.

For more details refer to the link given below.

https://brainly.com/question/4515567

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Rewritten by : Barada

First, we can divide the circumference by pi (3.14).

240 divided by 3.14 is 76.43 or 76.4 to the nearest tenth.

Now that we have our diameter, we just need to divide it by 2 to find our radius.

76.4 divided by 2 is 38.2.

Therefore, our answer would be B. 38.2 inches.