Question

What is the circumference of a pizza that has an area of 200.96 square inches?

Answer 1

`\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ -----\\ A=200.96 \end{cases}\implies 200.96=\pi r^2 \\\\\\ \cfrac{200.96}{\pi }=r^2\implies \boxed{\sqrt{\cfrac{200.96}{\pi }}=r} \\\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{200.96}{\pi }}} \right) \\\\\\ C\approx 50.2527396134939`

Answer 2

the answer is 50.24

A = πr²

200.96 sq in = 3.14 X r²

200.96 sp in/ 3.14 = 3. 14 X r²/ 3.14

64 sq in = r²

√64 sq in = √r²

8 in = r (the pizza has a radius of 8 in)

C = 2π X r

C = 2 X 3.14 X 8

C = 50.24 in (answer)

hope this helps