Question

If the area of th circles
154 cm . find the circunference​

Answer 1

Given:

The area of the circle = 154 cm

To find:

The circumference of the circle

Step-by-step explanation:

Let 'r' be the radius of circle

Area of the circle = πr^2

πr^2 = 154

(22/7)r^2 = 154

r^2 = 49

r = 7cm

Circumference of the circle = 2πr

= 2× (22/7)×7

= 44 cm

Answer 2

$\Huge\sf\purple{Answer:}$

$\sf{ }$

$\large\bf{{\underline{Given}}:}$

$\sf Area \: of \: the \: circle = 154 {cm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies \pi {r}^{2} = 154 {cm}^{2} \: \\ \sf \implies \frac{22}{7} \times {r}^{2} = 154 \\ \sf \: \: \: \: \: \: \: \implies 22 \times {r}^{2} = 154 \times 7 \\ \: \sf \implies 22 \times {r}^{2} = 1078 \\ \sf \implies {r}^{2} = \frac{1078}{22} \: \: \: \: \: \: \: \: \\ \sf \sf \implies {r}^{2} = 49 \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies r = \sqrt{49} \: \: \: \: \: \: \: \: \: \: \: \\ \sf \sf \implies r = \purple{ \underline{ \boxed{ \bf 7cm}}} \: \: \: \: \: \: \:$

$\sf{ }$

$\large\bf\therefore{{\underline{Circumference~of~the~circle}}:}$

$\sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2 \pi r \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies 2 \times \frac{22}{ \cancel{ 7 \: }} \times \cancel{ 7 \: } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies 2 \times 22 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies \purple{ \underline{ \boxed{ \bf 44cm}}}$