Question

Question is in image and you don’t have to show work if you don’t want to

Answer 1

`(27)/(2)\pi\:m^2`

1) Since that angle is a central angle, then we can tell that the measure of the arc is the same as the measure of the central angle.

2) So now, let's write out the following formula:

`A=(\alpha)/(360)*\pi r^2`

Note that this formula is valid for angles given in degrees.

3) We can plug into alpha the measure of the central angle as well as the radius:

`\begin{gathered} A=(135)/(360)*\pi(6)^2 \\ A=(3)/(8)*36\pi \\ A=(27)/(2)\pi \end{gathered}`

Thus, the answer is:

`(27)/(2)\pi\:m²`