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In the figure given below, ABCD is a square of side 14 cm with E, F, G and H as the mid points of sides AB, BC, CD and DA respectively. The area of the shaded portion is

(a) 44 cm 2   (b) 49 cm 2  (c) 98 cm 2   (d) 49π/2 cm 2

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Transcript

Question 36 In the figure given below, ABCD is a square of side 14 cm with E, F, G and H as the mid points of sides AB, BC, CD and DA respectively. The area of the shaded portion is (a) 44 cm2 (b) 49 cm2 (c) 98 cm2 (d) 49π/2 cm2 Shaded Area = Area of semicircle with radius 7 cm + (1/2 × Area of square − 2 × Area of quadrant with radius 7 cm) = Area of semicircle with radius 7 cm + (1/2 × Area of square − 2 × Area of quadrant with radius 7 cm) = Area of semicircle with radius 7 cm + (1/2 × Area of square − Area of semicircle with radius 7 cm) = 𝟏/𝟐 × Area of square = 1/2 × 142 = 1/2 × 196 = 98 cm2 So, the correct answer is (c)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.