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Find the area of the shaded region in the figure given alongside. |
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Answer» -step explanation:Given : In Circle under triangle 28 cm In Circle under Square 8 cm Find : The Area Of the Shaded regionSolution : Diameter of Circle = 28 cm Side Of Square = 8 cm Area Of Circle - Area Of Unshaded By Using Formula Area Of Circle = π r^2 Area Of Square = Side × Side Area Of Triangle = 1/2 × Base × HEIGHT Radius = r Diameter = 2R radius = 28/2 radius = 14 cm Area Of Circle = π × 14 × 14 Area Of Circle = 615 . 44 cm^2 Construction : Draw AM Perpendicular BC AM = radius of Circle 2AM = Height Of ∆ ∆ = 1/2 × 28 × 14 ∆ = 196 cm^2 Area Of Square = 8 × 8 cm Area of Square = 64 cm^2 Area Of Shaded REGION = 615 .44 - ( 64 + 196 ) Area Of Shaded region = 615 . 44 - 260Area Of Shaded region = 355.44 cm^2 The Area Of Shaded region is 355.44 cm^2 |
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