Ex 12.1, 2 - The radii are 8 cm, 6 cm. Find radius of circle - Area/Perimeter of Circle

Ex 12.1, 2 - Chapter 12 Class 10 Areas related to Circles - Part 2


Transcript

Question 2 The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles. Given that, Radius of 1st circle = r1 = 8 cm Radius of 2nd circle = r2 = 6 cm Let the radius of required circle = r cm According to question, Area of required circle = Sum of the area of both the circles Now, Area of required circle = Sum of the area of both the circles Area of required circle = Area of 1st circle + Area of 2nd circle Area of required circle = 64 𝜋 + 36 𝜋 𝜋r2 = 100 𝜋 r2 = 100 r = √100 r = √(〖10〗^2 ) r = 10 cm Hence , radius of required circle = 10 cm

Ask a doubt
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.