Question

Radio of 2 circles are in ratio 3:8. If the
diff. between their areas is 2695piπ cm^2, find
the area
area of the smaller circle​

Answer 1

Step-by-step explanation:

Given,ratio of the two circle=3:8

Let the radius of the smaller circle be 3x and greater circle be 8x

Now,

π(8x)

2

−π(3x)

2

=2695π

=>64x

2

−9x

2

=2695

55x

2

=2695

=>x

2

=49

=>x=7

Therefore,

Area of smaller circle = π(3×7)

2

=

7

22

×21×21

= 1386 cm

2