Question

find the circumference of a circle whose area is 16

Answer 1

Given that area = 16m²

We know that area of a circle = πr²

=> πr² = 16

=> r² = 16 ÷ π

=> r² = 16 × 7/22

=> r² = 56/11

=> r =
$\sqrt{ \frac{56}{11} }$


Now we know that circumference of a circle = 2πr

=>
$2 \times \frac{22}{7} \times \sqrt{ \frac{56}{11} } \\ \\ = > 2 \times \sqrt{ \frac{22}{7} } \times \sqrt{ \frac{22}{7} } \times \sqrt{ \frac{56}{11} } \\ \\ = > 2 \times \sqrt{44} \times \sqrt{ \frac{8}{7} } \\ \\ = > 2 \sqrt{ \frac{352}{7} }$
Hope it helps dear friend ☺️