Question

Please answer this correctly

Answer 1

502.4 square inches

Explanation:

To find the area of the shaded region, you first need to find the area of the smaller circle with diameter 12, and then subtract that from the area of the larger circle. Since the diameter of a circle is twice the radius, the radius of the smaller circle is 6, and its area is therefore:

`\pi \cdot 6^2 = 3.14\cdot 36=113.04`

The area of the larger circle, which has radius 6+8=14, is:

`\pi \cdot 14^2= 3.14 \cdot 196=615.44`

Subtracting the area of the smaller circle from his, you get an area of 502.4 square inches for the shaded area. Hope this helps!

Answer 2

Answer: 502.40 in²

Explanation:

the diameter of the big circle is 2(8) + 12 = 28

divide the diameter by 2 to get the radius (r) = 14

Area (A) = π·r²

= π(14)²

= 196π

The diameter of the small circle is 12

divide the diameter by 2 to get the radius (r) = 6

Area (A) = π·r²

= π(6)²

= 36π

The area of the shaded region is the difference between the big circle and the small circle.

`Area_(shaded)=Area_(big)-Area_(small)`

= 196π - 36π

= 160π

= 160(3.14)

= 502.40