Question 36 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Sept. 6, 2021 by Teachoo

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
}

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)

Made by

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.