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What is the length of the arc that subtends a central angle of 250° in the unit circle?

A. 25/36 p units
B. 125 p units
C. 25/18 p units
D. 18/25 p units

Sagot :

Answer:

C. 25/18 pi units

Step-by-step explanation:

A unit circle is a circle of radius 1 unit.

Length of an arc = central angle / 360° × 2πr

where r = radius = 1 unit and central angle = 250°

Length of an arc = 250/360 × 2π ×1

= 25/36 × 2π

Length of an arc = 25/18π units