Question

The radii of two circles are 12cm and 5cm
respectively. Find the radius of the circle which
has a circumference equal to the sum of the
circumference of the two circles.​

Answer 1

❍ Let r cm be the radius of the circle respectively.

$\\ \underline{\bigstar\boldsymbol{According\;to\;the\;given\;Question:}}$

• Here,we have r1 as 12 cm and r2 as 5 cm.Let us calculate the circumference of circle with radius1 and radius 2,So we will get the radius of sum of circumference of two circles.

Let's do it,

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Therefore,

$\\ \to\sf{Circumference \: of \: circle = 2\pi r} \\ \\ \to\sf{2\pi r = 2\pi r_{1} + 2\pi r_{2}} \\ \\ \to \sf{r = 12 + 5} \\ \\ \to \underline{\boxed{\frak{r = 17}}} \: \red{ \bigstar}$

Hence,

• The radius of the circle is 17 cm(option c).

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