Question #b6c51

1 Answer
CW
Nov 5, 2016

pink area =44.54=44.54

Explanation:

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Let A,B,C,DA,B,C,D be the areas of the respective shape, as shown in the diagram.

pink area = A+B+C-D=A+B+C−D
A=1/2*5*4.6=11.5A=12⋅5⋅4.6=11.5
B=pi*2.5^2 =19.63B=π⋅2.52=19.63
C=5*5=25C=5⋅5=25
D=pi*4^2*83^@/360^@=11.59D=π⋅42⋅83∘360∘=11.59

Hence, pink area = 11.5+19.63+25-11.59 = 44.54=11.5+19.63+25−11.59=44.54

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