Question

the area of a circle is 32 pi square units find its perimeter

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}$

Step-by-step explanation:

Area of a circle ( A ) = 32 π units

Radius of a circle ( r ) = ?

Perimeter of a circle ( P ) = ?

First ,finding the radius of a circle :

$\boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}$

$\dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}$

$\dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}$

$\dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}$

$\dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}$

$\dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}$

$\dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}$

$\dashrightarrow{ \sf{r = 3.19\pi}}$

Finding the perimeter of a circle ( P )

$\boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}$

${\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}$

$\sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }$

Hope I helped!

Best regards! :D