Q:

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

Accepted Solution

A:
Answer:209.55in²Step-by-step explanation:Find area of sector CADERadius =22 inAngle=90°Formula to apply is ;Ф/360 × π × r² where Ф=angle of sector, π=3.142 and r =radius of circle[tex]A=\frac{90}{360} *3.142*22*22=380.182in^2[/tex]Find area of triangle CAD where base length is 22 inches and height is 22 inchesArea of triangle formula is;1/2×b×h where b is base and h is height[tex]A=\frac{1}{2} *22*22=242in^2[/tex]Find area remaining 380.182-242=138.182in²Find the area of sector CBDFRadius=28inAngle=60°Formula to apply is ;Ф/360 × π × r² where Ф=angle of sector, π=3.142 and r =radius of circle[tex]A=\frac{60}{360} *3.142*28*28=410.55in^2[/tex]Area of triangle BDCThe formula to apply is 1/2×a×a×sinФ where a=28 inches and Ф=60°[tex]\frac{1}{2} *28*28*sin60=339.48in^2[/tex]Remaining area410.55-339.48=71.075in²Area created by overlapping circles138.182+71.075=209.26in²