In given figure, ABCD is a rectangle. The radius of the semicircles drawn on AD and Dy BC as diameters and radius of circle drawn in between is the same. If BC 7 cm find the area of the shaded region
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41
Answer:
Step-by-step explanation:
Given:
Length of a rectangle (AB) = DC = 14 cm
Breadth of a rectangle( BC) = AD=7 cm
AREA OF SEMICIRCLE with DIAMETER DC= 1/2πr² = ½(22/7) × (14/2)²
= 11 × 7 = 77 cm²
AREA OF RECTANGLE (ABCD) = Length × Breadth = AB × DC = 14 × 7 = 98 cm²
AREA OF 2 SEMI CIRCLE with DIAMETER BC & AD= 2× 1/2πr² =(22/7) × (7/2)² = 11 ×7 / 2
= 77 /2 cm²
AREA OF SHADED REGION = Area of rectangle ABCD - area of semicircle with diameter DC + Area of 2 semicircle with diameter BC and AD
Area of shaded region = 98 - 77 + 77/2
= 21 + 77/2 = (42 +77)/2 = 119/2 = 59.5 cm²
Area of shaded region = 59.5 cm²
Answered by
0
Answer:
The area of the shaded region is
59.5 cm²
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