Question

A circle has a diameter of 13 centimeters and a central angle EOG that measures 280°. What is the length of the intercepted arc EG? Use 3.14 for pi and round your answer to the nearest tenth.

Answer 1

radius = 6.5 cm
central angle 280 * 180/PI = 4.88 radians
arc length = radius * central angle (radians)
arc length = 6.5 * 4.88
arc length = 31.8 cm
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Double Check

Circumference entire circle = 2 * PI * radius

Circumference entire circle = 2 * 3.14 * 6.5

Circumference entire circle = 40.82

Arc Length = 40.82 * (280 / 360)

Arc Length = 31.8 cm