Question

Find the exact area of the region bounded by two concentric circles with radii 10inches and 6inches

Answer 1

64π sq. inch.

Explanation:

We have to find the exact area of the region bounded by two concentric circles with radii 10 inches and 6 inches

The region bounded by two circles is :

Area of bigger circle- Area of smaller circle

= π×10²-π×6²

=100π-36π

= 64π inch²

Hence, the exact area of region bounded by two concentric circles of radii 10 inches and 8 inches is:

64π sq. inch.

Answer 2

The exact area of the region bounded by two concentric circles is
`64\pi\ in^(2)`

Explanation:

we know that

To find the area of the region bounded by two concentric circles, subtract the area of the less circle from the area of the greater circle

Remember that the area of a circle is equal to

`A=\pi r^(2)`

so

`A=\pi (10^(2))-\pi (6^(2))`

`A=\pi (10^(2)-6^(2))`

`A=\pi (100-36)`

`A=64\pi\ in^(2)`