Question

Plss help me!!

Find the length of the arc.

Answer 1

`(5\pi )/(2)\:ft` (Option D)

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 * (\pi r)/(180)`

SOLUTION :-

Length of the arc =
`\theta * (\pi r)/(180) = 90 * (5\pi )/(180) =(5\pi )/(2)`