Determine the length of a chord intercepted by a central ang

Determine the length of a chord intercepted by a central angle of 22degree in a circle with a radius of 40 centimeters. The chord length is approximately centimeters. (Round to the nearest tenth as needed.)

Solution

c is the chord and radius =40 cm

using cosine law

c²= 40²+40²-2(40)(40)cos 22

c²=3200- 3200cos22

c=15.3 cm