Answer:
[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)
Step-by-step explanation:
GIVEN :-
- Angle subtended by the arc at center (θ) = 90°
- Radius of the circle = 5 ft.
TO FIND :-
GENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.
[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]
SOLUTION :-
Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]
