Question

Please please need help with this one

Answer 1

`\large\boxed{D)\ (11)/(45)\pi}`

Explanation:

Step 1:

Calculate what angle of 360° is the angle of 88°:

`(88)/(360)=(88:8)/(360:8)=(11)/(45)`

Step 2:

Calculate the area of a circle:

The formula of an area of a circle:

`A=\pi r^2`\\\\r - radius

We have the radius AO = 1. Substitute:

`A=\pi(1^2)=\pi`

Step 3:

Calculate the area of a sector AOB:

`A=\left((11)/(45)\right)(\pi)=(11)/(45)\pi`