Question

If the area of a circle is 2464 CM square then find its circumference.​

Answer 1

Answer:

176 cm is the circumference of the circle having area 2464 cm2

Answer 2

$\huge\sf\purple{{\underline{Answer}}:}$

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

$\begin{gathered} \sf Area \: of \: the \: circle = 2464cm^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies \pi {r}^{2} = 2464 {cm}^{2} \\ \: \sf \implies \frac{22}{7} \times {r}^{2} = 2464 \\ \: \: \: \: \: \: \: \: \sf \implies 22 \times {r}^{2} = 7 \times 2464 \\ \: \: \sf \implies 22 \times {r}^{2} = 17248 \\ \sf \implies {r}^{2} = \frac{17248}{22} \: \: \: \: \: \: \: \\ \sf \implies {r}^{2} = 784 \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies r = \purple{ \underline{ \boxed{ \bf 28cm}}} \: \: \: \: \: \: \end{gathered}$

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

$\begin{gathered} \sf 2 \pi r \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies 2 \times \frac{22}{ \cancel{ \: 7} \: \: ^{1} } + { \cancel{28}} \: \: ^{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \implies 2 \times 22 \times 4 \\ \sf \implies 44 \times 4 \: \: \: \: \: \: \: \\ \sf \implies \purple{ \underline{ \boxed{ \bf 176cm}}} \: \: \end{gathered}$

$\large\bf\therefore{{\underline{Required~answer}}:}$

$\begin{gathered} \sf Radius = \purple{ \underline{ \boxed{ \bf 28cm}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf Circumference = \purple{ \underline{ \boxed{ \bf 176cm}}}\end{gathered}$