456,635 views
0 votes
0 votes
The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?

The circumference of the inner circle is 270.04 miles. What is the area of the shaded-example-1
User Max Nanasy
by
2.7k points

1 Answer

16 votes
16 votes

area of a circle =
image

circumference =
image

Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m

we have the circumference of the inner circle which is 270.04 we can find the value of m using that


image

the radius of the inner circle is therefore 42.98

and the full circle has a radius off 65.02

area of shaded region = area of full circle - area of inner circle

area of shaded region =
image

area of shaded region =
image

area of shaded region = 7478 rounded off to the nearest whole number

User Rantravee
by
2.8k points