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