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dimaraw [331]
3 years ago
5

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

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

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

Step-by-step explanation:

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

s = r\theta \times \dfrac{\pi}{180^{^{\circ}}}

where θ is measured in degrees.

Data:

r = 5 in

θ = 75°

Calculation:

s = \text{5 in} \times 75^{^{\circ}}\times\dfrac{\pi}{180^{^{\circ}}} = \textbf{7 in}\\\\\text{The length of the arc is }\boxed{\textbf{7 in}}

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