What is the length of the arc on a circle with radius 21 in intercepted by a 25° angle? Round your answer to the nearest tenth.

Answer: The length of the arc = 9.16

Step-by-step explanation: Formula for the length of an arc is,

=2πr∅°/360° or

πr∅°/180°.

Where r = radius of the circle, ∅ is the angle substended by the arc of the centre.

Substitute for values in the formula above

πr∅°/180 = 3.142 * 21 * 25/180

= 1649. 55/180

= 9.164

=9.16

Therefore, the length of the arc = 9.16

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 * 2πr

Where

θ is the central angle formed at the center of the circle.

r represents the radius of the circle.

π represents a constant whose value is 3.14

From the information given,

r = 21 inches

θ = 25 degrees

Length of arc formed = 25/360 * 2 * 3.14 * 21 = 9.2 inches,