Question

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 these two

circles.​

Answer 1

Answer:

Area of first circle = rt x 8

2 = 64rt cm2

Area of second circle = rt x 62 = 36n cm2

Let radius of required circle be x cm.

A.T.Q., 7t X x2 = 647t + 36rt

� nx2 = l00rt

� x2 = 100 � x = 10 cm.

10. A rectangular solid metallic cuboid 18 cm x 15 cm

Answer 2

Answer:

Let the radius of required circle is r cm.

So, πr

2

=πr

1

2

+πr

2

2

r

2

=r

1

2

+r

2

2

r

2

=(8)

2

+(6)

2

r

2

=100

r=10cm