Question

4

Answer 1

The answer is 37.68

We need to find the area of the sector of the circle.

There is a missing part in the upper left part of the circle.

The upper left part central angle measure 90 degree becuase it has a perpendicular sign.

Using central angle and arc theorem, the central angle equal the arc measure so that arc measure is 90 degrees.

There is 360 degrees in a circle so using arc addition,

the rest of the arc measure 270 degrees.

We can use this formula to find the area of the sector

$\frac{x}{360} \times \pi \times {r}^{2}$

where x is the measure of the central angle and r is the radius.

Plug 270 in for x. The radius is 4.

$\frac{270}{360 } \times \pi \times {4}^{2}$

$\frac{3}{4} \times \pi \times 16$

$12\pi$

which is about

37.68