Question

What is the area of the sector that is not shaded? 12Pi units squared 24Pi units squared 120Pi units squared 144Pi units squared

Answer 1

120

Explanation:

Answer 2

This an incomplete question, the image of figure is shown below.

Answer : The area of the sector not shaded is, 120π

Step-by-step explanation :

Given:

The angle of the sector = 60°

Radius of the circle = 12 unit

First we have to calculate the area of circle.

Formula used :

`\text{Area}=\pi * \text{Radius}^2`

Now put all the given values in this formula, we get:

`\text{Area}=\pi * 12^2=144\pi`

Now we have to calculate the area of sector that are shaded.

Formula used :

`\text{Area of the sector}=(\theta)/(360^(\circ))* \text{Area of the circle}`

Now put all the given values in this formula, we get:

`\text{Area of the sector}=(60^(\circ))/(360^(\circ))* 144\pi\\\\=(1)/(6)* 144\pi\\\\=24\pi`

Now we have to calculate the area of sector that is not shaded.

Area of the sector not shaded = 144π - 24π = 120π

Therefore, the area of the sector not shaded is, 120π