Question 8 - NCERT Exemplar - MCQ - Chapter 12 Class 10 Areas related to Circles (Term 1)
Last updated at Dec. 4, 2021 by
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
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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.
