Question

A new “mega-size” pizza costs $29.99. The pizza company wants to get $0.02 per square centimetre of pizza. a) How much area should the pizza cover? b) What should be the pizza's diameter, to the nearest centimetre?​

Answer 1

d = 437 cm

Explanation:

1 cm^2 costs 0.02 cents.

x cm^2 costs 29.99 dollars which is 2999 cents.

1 cm^2 / 0.02 = x / 2999 Cross multiply

0.02 cents x = 2999 cents cm^2 The cents will cancel out and you get

0.02 x = 2999 cm^2 Divide by 0.02

x = 2999 cm^2 / 0.02

x = 149950 cm^2

The area of a circular pizza is going to be pi * r^2 just as it is for any circle.

pi * r^2 = 149950 Since pi = 3.14 divide by 3.14

r^2 = 149950 / 3.14

r^2 = 47754.8 Take the square root of both sides.

sqrt(r^2) = sqrt(47754.8)

r = 218.53 cm

This think is huge -- well over 6 feet. in radius.

r = 218.53

d = 2* r = 437.057

d = 437 cm