in figure AP B and a qtr semicircle send you a call to ob if the same as the perimeter of the figure is 40 cm find the area of the shaded region
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where is the figure dood
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Let OA=OB =r.
Therefore, 40= 22/7* r/2 + 22/7*r + r
280= 40r
r=7
So, shaded area= (1/2*22/7*7/2*7/2 + 1/2*22/7*7*7)
= 77/4 +77
= 77 (1/4+1)
= 77* 5/4
= 385/4 cm^2
= 96.25 cm^2
Therefore, 40= 22/7* r/2 + 22/7*r + r
280= 40r
r=7
So, shaded area= (1/2*22/7*7/2*7/2 + 1/2*22/7*7*7)
= 77/4 +77
= 77 (1/4+1)
= 77* 5/4
= 385/4 cm^2
= 96.25 cm^2
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