Question

the ciremference of circle is 264 find it's area​

Answer 1

$c = 264 \\ 2\pi \: r = 264 \\ \frac{2 \times 22}{7} r = 264 \\ r = \frac{264 \times 7}{2 \times 22} \\ r = 42 \\ area = \pi \: {r}^{2} \\ a = \frac{22 \times 42 \times 42}{7} \\ a = 5544$

Answer 2

Answer:

$\huge\boxed{\red{5544\:units^2}}$

Circumference of a circle is 264 units .

$\texttt{What is circumference ?}$

The circumference is the boundary of the circle .

The formula of circumference is given by 2 π r where r is the radius of the circle and π is a constant which has a value of 22/7 ,

$\texttt{What is area ?}$

The area is the quanitity which is enclosed by a figure .

The area of a circle is given by the formula π r² where r is the radius .

$\texttt{\underline{Solution:}}$

$2\pi r=264\\\\\implies 2\times \frac{22}{7}\times r=264\\\\\implies \frac{44}{7}\times r=264\\\\\implies r=264\times \frac{7}{44}\\\\\implies r=6\times 7\\\\\implies r=42$

The radius is 42 units .

$Area=\pi r^2\\\\\implies \frac{22}{7}\times 42\times 42\\\\\implies 22 \times 6 \times 42\\\\\implies 132 \times 42\\\\\implies 5544$

Hence area is 5544 square units .