Question

If the arc on a particular circle has an arc length of 14 inches, and the circumference of the circle is 84 inches, what is the angle measure of the arc?

Answer 1

A. 60°
B. 90°
C. 120°
D. 180°

Answer 2

well you know the are length and the circumference

so comparing the equations, x is the sector angle formed by the arc

\[\frac{\frac{\x}{360} \times \pi \times d}{\pi \times d} = \frac{14}{84}\]

cancel the common factors shows that

\[\frac{\x}{360} = \frac{14}{84}\]

solve for x

Answer 3

is it 60?

Answer 4

correct