Question

given a central angle of 125°, find the length of its intercepted arc in a circle of radius 7 cm. round to the nearest tenth.

Answer 1

To find Arc Length of a Circle use the next proportion:

Central angle/ 360º = Arc Length / 2πr

Replace and solve for the Arc Length

125° / 360º = Arc Length / 2π(7)

(25/72)*( 2π(7) )= Arc Length

15.271 =Arc Length

Rounded to the nearest tenth

15.3=Arc Length