Question

Find the diameter of a circle whose circumference is equal to the sum of circumference of circle with radii 10 cm, 12cm and 18cm

Answer 1

diameter of the circle is 80 cm

Answer 2

80cm

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Let d be the required diameter, then radius of the circle d/2

It is given that,

2π d/2 =2π(10)+2π(12)+2π(18)

⇒2π(d/2)=2π(10+12+18)

⇒d/2=40

⇒d=80cm.