Question 8 - NCERT Exemplar - MCQ - Chapter 11 Class 10 Areas related to Circles

Last updated at July 12, 2023 by Teachoo

It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

(A) 10 m (B) 15 m (C) 20 m (D) 24 m

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Question 8
It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be
(A) 10 m (B) 15 m (C) 20 m (D) 24 m
Now,
Area of 8m circle + Area of 6m circle = Area of circle with radius r
𝜋82 + 𝜋62 = 𝜋r2
82 + 62 = r2
64 + 36 = r2
100 = r2
r2 = 100
r2 = 102
r = 10 m
So, the correct answer is (A)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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