Calculate the area of the shaded region,if the diameter of the semicircle is 14 cm
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where is your shaded region
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Step-by-step explanation:
AC = DE = 14cm (given)
⇒ AB = BC = 7 cm (given)
Area of the shaded region = Area of rectangle ACDE + Area of semicircle DEF – 2 × Area of quadrant
∴ Area of rectangle = Length × Breadth
Area of semicircle = 1/2π(r2)
2 × Area of quadrant = π/4(r2)
∴ Area of shaded region = 14 × 7 + π/2(7)2 – 2 × π/4 (7)2
= 98 + 49π/2 - 49π/2
= 98 cm2
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