Question

Need geometry help ASAP please!

Answer 1

1. 121 π unit²

2. 143°

3. 151 unit²

Explanation:

1.

Area of a circle is given by the formula A = πr²

where

A is the area,

r is the radius of the circle

From the given diagram, we can see that the radius is 11, hence the area will be:

`A=\pi r^2\\A=\pi (11)^2\\A=121\pi`

The answer is
`121\pi` units^2

2.

The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°

The measure of the central angle of the shaded sector is 143°

3.

Area of a sector is given by the formula
`A=(\theta)/(360)*\pi r^2`

Where

`\theta` is the central angle of the sector (in our case it is 143°)

r is the radius (which is 11)

Plugging in all the info into the formula we have:

`A=(\theta)/(360)*\pi r^2\\A=(143)/(360)*\pi (11)^2\\A=150.99`

rounding to the nearest whole number, it is 151 units^2