In ncert class 10 the chapter Areas Related To Circles what is the best solution of exercise 12.1 question number 2 , please help me to solve this question in a easiest and simple way .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.
SonuNewbie
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. Q.2
Share
Radius of 1st circle = 8 cm (given)
∴ Area of 1st circle = π(8)2 = 64π
Radius of 2nd circle = 6 cm (given)
∴ Area of 2nd circle = π(6)2 = 36π
So,
The sum of 1st and 2nd circle will be = 64π+36π = 100π
Now, assume that the radius of 3rd circle = R
∴ Area of the circle 3rd circle = πR2
It is given that the area of the circle 3rd circle = Area of 1st circle + Area of 2nd circle
Or, πR2 = 100πcm2
R2 = 100cm2
So, R = 10cm