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

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 :

$\text{Area}=\pi \times \text{Radius}^2$

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

$\text{Area}=\pi \times 12^2=144\pi$

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

Formula used :

$\text{Area of the sector}=\dfrac{\theta}{360^{\circ}}\times \text{Area of the circle}$

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

$\text{Area of the sector}=\dfrac{60^{\circ}}{360^{\circ}}\times 144\pi\\\\=\dfrac{1}{6}\times 144\pi\\\\=24\pi$

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

Answer 2

Answer:

120

Step-by-step explanation: