Question

Find the area of the shaded region. Round the answer to the nearest
tenth decimal place.

Answer 1

`\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star`

• Area of shaded region = 2571.66 in²

`\textsf{ \underline{\underline{Steps to solve the problem} }:}`

Radius of smaller circle = 25 in

Radius of larger circle = 25 + 13 = 38 in

Area of ring : Area of larger circle - Area of smaller circle

`\qquad❖ \: \sf \:\pi {(38)}^(2) - \pi {(25)}^(2)`

`\qquad❖ \: \sf \:\pi( {38}^(2) - 25 {}^(2) )`

`\qquad❖ \: \sf \:3.14(1444 - 625)`

`\qquad❖ \: \sf \:3.14(819)`

`\qquad❖ \: \sf \:2571.66 \: \: in {}^(2)`

`\qquad \large \sf {Conclusion} :`

• Area = 2571.66 in²