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If the area of the circle isFind the area of shaded portion.Want with formula |
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Answer» Answer: Draw RM⊥AB AM=MB= AB =18 cm AP=PM=MQ=QB= 2 18 =9 cm MR=AM=18㎝ CM=RM−CR=18−r PC=PE+EC=9+r In triangle CMP PC 2 =CM 2 +PM 2 ⇒(9+r) 2 =(18−r) 2 +9 2
⇒81+18r+r 2 =324−36r+r 2 +81⇒54r=324⇒r=6 cm ∴Area of shaded region=area of semi circle AB−2 area of semi circle-area of circle = 2 1 π×18 2 −2× 2 1 ×π×9 2 −π×6 2
Step-by-step explanation: |
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