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# Find the length of an arc of 40° in a circle with an 8 inch radius.

**Solution:**

Given, angle of arc, C = 40°

Radius of circle, r = 8 inches

We have to find the length of an arc of a circle.

Length of an arc = 2𝜋r(C/360°)

So, length of an arc = 2𝜋(8)(40°/360°)

= 16𝜋(1/9°)

= 16(3.14)(0.111)

= 50.24(0.111)

= 5.58 inches.

Therefore, the length of the arc is 5.58 inches.

## Find the length of an arc of 40° in a circle with an 8 inch radius.

**Summary:**

The length of an arc of 40° with an 8 inch radius is 5.58 inches.

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