Question

The sector of a circle with a 12-inch radius has a central angle measure of 60°.

Answer 1

Answer: Area of sector in term of π is 24 in.².

Step-by-step explanation:

Since we have given that

Radius of the sector of a circle = 12 inch

Central angle = 60°

As we know the formula for "Area of sector":

$Area=\frac{\theta}{360^\circ}\pi r^2\\\\Area=\frac{60}{360}\times \pi\times 12\times 12\\\\Area=24\pi\ inch^2$

Hence, Area of sector in term of π is 24 in.².

Answer 2

Answer:

The exact area of the sector in terms of ​π is $24\pi \thinspace inches^2$

Step-by-step explanation:

Given the radius of circle 12-inch and the central angle measure of 60°.

We have to find the the exact area of the sector in terms of ​ π.

As the area of sector can be calculated by the formula

$A=\frac{\theta}{360^{\circ}}\times\pi r^2$

where $\theta$ is the central angle in degree and r is the radius of circle.

Now, $A=\frac{60}{360^{\circ}}\times\pi (12)^2$

              $=\frac{1}{6}\times\pi (12)^2$

              $=24\pi \thinspace inches^2$

Hence, the exact area of the sector in terms of ​π is $24\pi \thinspace inches^2$