Question

find the radius of the circle whose circumference is equal to the sum of circumferences of circles with radii 10cm, 12cm, 18cm

Answer 1

Answer:

Let d be the required diameter, then radius of the circle

2

d

It is given that,

2π

2

d

=2π(10)+2π(12)+2π(18)

⇒2π(

2

d

)=2π(10+12+18)

⇒

2

d

=40

⇒d=80cm.