Question

Find the radius of a circle whose circumference is equal to the sum of the circumferrences of two circles of radi 15 cm & 18 cm

Answer 1

$\mathcal{\huge{\underline{\underline{\red{Answer:-}}}}}$

➡ The radius of a circle is 33 cm.

$\mathcal{\huge{\underline{\underline{\green{Solution:-}}}}}$

Given :-

Circumference of Circle = The sum of the circumferences of two circles of radii 15 cm and 18 cm.

To Find :-

The radius of a circle .

Solution :-

We know that,

The circumference of circle = 2πr

& r the radius

C1= The circumference of circle of radius 15 cm = 2π×15= 30π cm

C2=The circumference of circle of radius 18cm = 2π×18 = 36 π cm

According to question,

The circumference of circle whose radius is r

= C1 + C2

= 30π+36π

= 66π

=> 2πr =66π

=> r = 33 cm.

________________________________