Question

The sum of the areas of two circle, which touch each other externally, is 153 . If the sum of their radii is 15, then the ratio of the larger to the smaller radius is:
a) 2:1
b) 4:1
c) 3:1
d) none of these​

Answer 1

Answer:

below

Step-by-step explanation:

Let r

1

= radius of big circle & r

2

=radius of small circle

π(r

1

2

+r

2

2

)=153π

∴r

1

2

+r

2

2

=153 (i)

And r

1

+r

2

=15 (ii)

Solving (i) & (ii)

r

1

=12,r

2

=3

r

2

r

1

=

3

12

=4