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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
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
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
Area of triangle BDC
The formula to apply is
1/2×a×a×sinФ where a=28 inches and Ф=60°
Remaining area
410.55-339.48=71.075in²
Area created by overlapping circles
138.182+71.075=209.26in²