Question

Area of circle is 2826cm². Find its perimeter

Answer 1

$\text{We know that area of circle} = \pi r^{2}$

$\text{Where }r \text{ is the radius of circle}$

$\implies 2826 = \pi r^{2}$

$\pi = 3.14$

$\implies 2826 = 3.14(r^{2})$

$\implies \dfrac{2826}{3.14} = r^{2}$

$\implies 900 = r^{2}$

$\implies r = \sqrt{900}$

$\implies r = 30\text{ cm}$

$\text{We know that perimeter of circle = }2\pi r$

$\implies 2 \times 3.14 \times 30 = \text{Perimeter}$

$\implies 6.28 \times 30 = \text{Perimeter}$

$\implies \boxed{\text{Perimeter} = 188.4 \text{ cm}}$