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Three pizzerias claim they offer the pizza with the largest circumference.

Each of the 8 slices of Mario's Pizzeria's large pizza has an area of 14.13 square inches.

Each of the 16 slices of Tito's Pizzeria's large pizza has an area of 12.56 square inches.

Each of the 10 slices of Peter's Pizzeria's large pizza has an area of 15.386 square inches.

Place the pizzas in order of least to greatest circumference. Assume all pizzas are circles and assume all pizzas have the same thickness. Use 3.14 for pi.
(hopefully these people will help me like they never do :/)

Sagot :

iGreen
Mario's:

8 * 14.13 = 113.04

A = pi * r^2

Plug in what we know:

113.04 = 3.14 * r^2

Divide 3.14 to both sides:

36 = r^2

Find the square root of both sides:

r = 6

Plug this into the formula for the Circumference of a Circle:

C = 2 * pi * r

C = 2 * 3.14 * 6

Multiply:

C = 37.68

Tito's:

16 * 12.56 = 200.96

A = pi * r^2

Plug in what we know:

200.96 = 3.14 * r^2

Divide 3.14 to both sides:

64 = r^2

Find the square root of both sides:

r = 8

Plug this into the formula for the Circumference of a Circle:

C = 2 * pi * r

C = 2 * 3.14 * 8

Multiply:

C = 50.24

Peter's:

10 * 15.386 = 153.86

A = pi * r^2

Plug in what we know:

153.86 = 3.14 * r^2

Divide 3.14 to both sides:

49 = r^2

Find the square root of both sides:

r = 7

Plug this into the formula for the Circumference of a Circle:

C = 2 * pi * r

C = 2 * 3.14 * 7

Multiply:

C = 43.96

So the correct order is:

Mario's, Peter's, Tito's
 the correct order is:
Mario's, Peter's, Tito's
Hope that helps
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