Question

For a circle of radius 3 feet, find the arc length s subtended by a central angle of 57 degrees

Answer 1

Answer: The length of the arc is 2.98 feet. Step-by-step explanation: Given : For a circle of radius 3 feet, the arc length s subtended by a central angle of 57 degrees.

Answer 2

The length of the arc is 2.98 feet.

Step-by-step explanation:

Given : For a circle of radius 3 feet, the arc length s subtended by a central angle of 57 degrees.

To find : The arc length

Solution :

Formula of arc length is L=r\times \thetaL=r×θ

Where L is the arc length, r is the radius and \thetaθ is the angle (in radians)

The radius given is r=3 feet.

s = r π a /180°

r =3 ft, a =57°

s =3 ×π×57°/180°

= 19/20π ft

= 0.95π

= ft equals to 2.98

Therefore, The length of the arc is 2.98 feet.