Question

Plss help me!! Find the length of the arc.

Answer 1

Answer:

$\frac{5\pi }{2}\:ft$ (Option D)

Step-by-step explanation:

GIVEN :-

• Angle subtended by the arc at center (θ) = 90°
• Radius of the circle = 5 ft.

TO FIND :-

• Length of the arc

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

$=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}$

SOLUTION :-

Length of the arc = $\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}$