Question

The shaded area is 120T cm?, and the radius is 24 cm. Find X.

Answer 1

We will have the following:

$A=(\frac{x}{2})\cdot r^2\Rightarrow120\pi=(\frac{x}{2})(24)^2$$\Rightarrow\frac{x}{2}=\frac{5\pi}{24}\Rightarrow x=\frac{5\pi}{12}$$\Rightarrow x\approx1.31$

So, the value of x is approximately 1.31.