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
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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
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