Question

5. What is the length of an arc that subtends a central angle of 75° in a circle whose radius is 5 inches?

Round off your answer to the nearest whole number.
A. 7
B. 4
C. 16
D. 21

Answer 1

`\boxed{\text{A. 7 in}}`

Explanation:

The formula for the arc (s) of a circle is

`s = r\theta * \frac{\pi}{180^{^(\circ)}}`

where θ is measured in degrees.

Data:

r = 5 in

θ = 75°

Calculation:

`s = \text{5 in} * 75^{^(\circ)}*\frac{\pi}{180^{^(\circ)}} = \textbf{7 in}\\\\\text{The length of the arc is }\boxed{\textbf{7 in}}`