Middle School

Thank you for visiting 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. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

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

Thank you for reading the article 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. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany

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.

Other Questions