Question

What is the arc length of the shaded region to the nearest tenth?

Answer 1

Answer:

285

Step-by-step explanation:

The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.

We also know that the area of the circle is $\pi r^{2}$ but we are finding a portion of that, therefore we would need to multiply it by $(\frac{270}{360} )$. The radius is also given which is 11.

Area of the shaded region = $(\frac{270}{360}) * \pi 11^{2}$ = 285