Two circles have the same center C. (Circles which have the same center are called concentric.) The larger circle has radius 10 and the smaller circle has radius 8. Determine the area of the ring between these two circles.

Guest Apr 22, 2021

#1**0 **

The area of large circle is 100pi (pi*10^2)

The area of short circle is 64pi (pi*8^2)

100pi-64pi = 36pi

=^._.^=

catmg Apr 22, 2021

#2**+2 **

For this question, you don't have to have any formula for finding the area of the ring, all you need to do is subtract the area of the smaller ring from the bigger one.

So, let us figure out the areas of each of the circles.

**C _{1 }= **pi*r^2 = pi * 8^2 =

**C _{2}_{ }= **pi*r^2 = pi * 10^2 =

Now that we have the two areas, we can subtract **C _{1 }**from

Therefore:

**C _{2} - C_{1} = 100pi - 64pi = 36pi**

So, the area of the ring between these two circles is **36pi.**

NotGuest Apr 22, 2021