Question

Work out value x, give answer to 1 decimal place

Answer 1

x ≈ 44.6°

Explanation:

perimeter of a perfect circle: 2πr = 2π(9) = 18π

perimeter of the circle arc : 25 - 2(9) = 7

The central angle in a full circle is 360 degrees. In the segment of the circle is x degrees. The value of x is obtained using proportionality.

`(360)/(x) = (18\pi)/(7) \\ \\ x = (7 * 360)/(18\pi) = 44.56`