Question

In Fig. ABCD is a rectangle. The radii of the semicircles drawn on AD and BC and the radius of the circle drawn in between are same. Given AD = 7 cm, calculate the area of the shaded region. ​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

Here's your answer!

Step-by-step explanation:

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