Question

the radius of the circle whose circumference is equal to the sum of the circumference of two circles of radil 15 cm and 18 cm is -------? ​

Answer 1

Answer:

Radius of the circle (R) = 33cm

Step-by-step explanation:

Circumference of a circle = 2$\pi$R

given that,

circumference of the circle =sum of the circumferences of other two circles

Radii of the two circles is

R₁=15cm, R₂=18cm

let the radius of the other circle be R

Now,

circumference of the circle with radius R =2$\pi$R

Circumference of the circle with radius R₁ (=15cm) =2$\pi$R₁=2$\pi$(15)=30$\pi$

circumference of the circle with radius R₂ (=18cm) =2$\pi$R₂=2$\pi$(18)=36$\pi$

so,

⇒2$\pi$R = 30$\pi$ + 36$\pi$             (∵Given)

⇒2$\pi$R = 2$\pi$(15 + 18)

⇒R = 15 + 18

⇒R = 33cm

∴Radius of the circle (R) = 33cm

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