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

Slide78.jpeg

Slide79.jpeg

Go Ad-free

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.