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
[tex]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[/tex]
Therefore, the radius of the circle is 20.6 ft
