Question

The radius of a circle whose circumference is equal to the sum of the circumference of the two circles of radii 24cm and 6cm is​

Answer 1

Step-by-step explanation:

Given:

The radii of two circles are r

1

=24 cm & 6cm

= cm.

To find out:

The radius r of the circle whose circumference C2=C1+C2

.

Solution:

We have C1=2πr.C2&

C2=2πr2

∴ The resulting circumference C=2πr=C1+C2

=2π(r1+r2)

=2π(15+18) cm=66π cm.

∴ We have, 2πr=66π⇒r=2

66 cm=33 cm