Question

26. The length of ABC is 110 ft. What is the radius of circle D? Round to the nearest tenth.

Answer 1

The radius of the circle is 20.6 ft

Explanation:

Given:

Length of arc ABC = 110 ft

Radius of the circle, D = ?

∠ADC is 54°

Circumference of the circle = length of ABC + length of AC

$2\pi r = 110 + \frac{54}{360} X 2\pi r\\\\2\pi r = 110 + 0.3\pi r\\\\1.7\pi r = 110\\\\r = \frac{110}{1.7 X \pi } \\\\r = 20.6$

Therefore, the radius of the circle is 20.6 ft