Question

4

Find the area of the shape.
Either enter an exact answer in terms of T or use 3.14 for it and enter your answer as a decimal.

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

`(x)/(360) * \pi * {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.

`(270)/(360 ) * \pi * {4}^(2)`

`(3)/(4) * \pi * 16`

`12\pi`

which is about

37.68