Question

r=12 inches, θ=30°, A=?6.28 in ^ 275.36 in ^ 23.14 in ^ 237.68 in ^ 2

Answer 1

Given:

The radius = r = 12 inches

And the angle θ = 30°

We will find the area of the given sector of the circle

we will use the following formula:

$A=\frac{\theta}{360\degree}\cdot\pi r^2$

Substitute with (r) and (θ):

$A=\frac{30}{360}\cdot3.14\cdot12^2=37.68\text{ in\textasciicircum{}2}$

So, the answer will be option 4) 37.68 in²