contestada

Two pies are 8 inches and 10 inches in diameter. the smaller pie sells for $7.99. how much would the larger pie sell for, to the nearest cent, if it is the same price per square inch as the smaller pie?

Respuesta :

rvkacademic

Answer:

$12.48

Step-by-step explanation:

The area of a circle is directly proportional to the square of the radius

Given two circles with radii r1 and r2, the ratio of their areas is equal to the ratios of the squares of the radii

A1/A2  = r1²/r2²

Here the radii are 4 and 5

So A1/A2 = 4²/5² = 16/25

Since the price per square inch is the same for both, this ratio equals the ratio of the prices

16/25 = 7.99/p2   where p2 is the price of the larger pizza

==> p2 = 7.99 x 25/16 = $12.48

Otras preguntas