Question

Urgent! Find the area created by the overlapping circles given the following information.

Answer 1

Answer:

209.55in²

Step-by-step explanation:

Find area of sector CADE

Radius =22 in

Angle=90°

Formula to apply is ;

Ф/360 × π × r² where

Ф=angle of sector, π=3.142 and r =radius of circle

$A=\frac{90}{360} *3.142*22*22=380.182in^2$

Find area of triangle CAD where base length is 22 inches and height is 22 inches

Area of triangle formula is;

1/2×b×h where b is base and h is height

$A=\frac{1}{2} *22*22=242in^2$

Find area remaining

380.182-242=138.182in²

Find the area of sector CBDF

Radius=28in

Angle=60°

Formula to apply is ;

Ф/360 × π × r² where

Ф=angle of sector, π=3.142 and r =radius of circle

$A=\frac{60}{360} *3.142*28*28=410.55in^2$

Area of triangle BDC

The formula to apply is

1/2×a×a×sinФ where a=28 inches and Ф=60°

$\frac{1}{2} *28*28*sin60=339.48in^2$

Remaining area

410.55-339.48=71.075in²

Area created by overlapping circles

138.182+71.075=209.26in²