Question

In a circle of radius 25 inches, a central angle of 35° will intersect the circle

forming an arc of length
O
A. 15.27 inches
OB. 875 inches
O
c. 1.17 feet
O
D. 15.27 feet

Answer 1

A

Explanation:

The arc length is calculated as

arc = circumference × fraction of circle

= 2πr ×
`(35)/(360)` ← r is the radius

= 2π × 25
`(35)/(360)`

= 50π ×
`(35)/(360)`

=
`(50\pi (35))/(360)`

=
`(1750\pi )/(360)` ≈ 15.27 inches → A