Question

Find the area of the shaded region if angle PA= 7 in and PB= 4 in

Answer 1

To find the area of the shaded area we need to know that PA represents the radius of the big circle and PB represents the radius of the circle inside.

The area of a circle can be found using the next formula:

`A=\pi\cdot r^2`

Where r represents the radius of the circle.

Now, let's find the area of the circles:

Big circle with PA=r =7 in

`A_b=\pi\cdot(7)^2`
`A_b=49\pi in^2`

Small circle with PB = r = 4 in

`A_s=\pi\cdot(4)^2`
`A_s=16\pi in^2`

Finally, to find the shaded area subtract the small circle from the big circle

`A_b-A_s=49in^2-16in^2=33in^2`

The area of the shaded area is 33in²