The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start superscript, 2, end superscript. What is the diameter of an extra large pizza from Gambino's Pizzeria?

Respuesta :

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is [tex]44\ cm[/tex]

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]A=484\pi\ cm^{2}[/tex]

substitute in the formula and solve for the radius r

[tex]484\pi=\pi r^{2}[/tex]

Simplify

[tex]484=r^{2}[/tex]

[tex]r=22\ cm[/tex]

Find the diameter

Remember that the diameter is two times the radius

[tex]D=2(22)=44\ cm[/tex]

Answer:

44

Step-by-step explanation: