Question -
Answer -
Radius of 1st┬аcircle = 8 cm(given)
тИ┤ Area of 1st┬аcircle = ╧А(8)2┬а=64╧А
Radius of 2nd┬аcircle = 6 cm(given)
тИ┤ Area of 2nd┬аcircle = ╧А(6)2┬а=36╧А
So,
The sum of 1st┬аand 2nd┬аcirclewill be = 64╧А+36╧А = 100╧А
Now, assume that the radius of 3rd┬аcircle= R
тИ┤ Area of the circle 3rd┬аcircle = ╧АR2
It is given that the area of the circle 3rd┬аcircle= Area of 1st┬аcircle + Area of 2nd┬аcircle
Or, ╧АR2┬а= 100╧Аcm2
R2┬а= 100cm2
So, R = 10cm