Question

if the perimeter and the area of a circle are numerical equal, then find the radius of a circle.​

Answer 1

Given:-

perimeter and area of a circle are equal

To find :-

Radius of the circle

Solution:-

Let radius =r

As we know in a circle

${\boxed {perimeter=2 {\Pi}r}}$

${\boxed{Area={\Pi}r {}^{2}}}$

According to question

$2 {\Pi}r={\pi}r {}^{2}$

${:}\longrightarrow$$2×{\frac {22}{7}}×r={\frac {22}{7}}×{r}^{2}$

${:}\longrightarrow$${\frac {44}{7}}×r={\frac {22}{7}}$

${:}\longrightarrow$${\frac {{\bcancel {44}}}{{\cancel {7}}}}×{\frac {{\cancel{7}}}{{\bcancel {22}}}}={\frac {{r}^{2}}{r}}$

${:}\longrightarrow$$r=2$

${:}\longrightarrow$${\underline{\boxed{\bf {Radius=2units}}}}$

Answer 2

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