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

Last updated at April 16, 2024 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
}

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 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.

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