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3 years ago

5. Jill buys two circular pizzas - a small and a medium. The small pizza has

1 answer:

4 0

The area of small pizza is 2.778 times greater than the area of medium pizza, if the small pizza has a diameter of 6 inches and the medium pizza has a diameter of 10 inches.

Step-by-step explanation:

The given is,

The small pizza has a diameter of 6 inches.

The medium pizza has a diameter of 10 inches.

$\pi = 3.14$

Step: 1

Formula to calculate the area of circular pizza,

$A =\pi r^{2}$ ............................(1)

Where, r - Radius of pizza

Step: 2

Area of medium pizza,

Where, Diameter of medium pizza, D = 10 inches

Radius , $r = \frac{d}{2} = \frac{10}{2} = 5 inches$

r = 5 inches

Equation (1) becomes,

$A_{Medium} =\pi 5^{2}$

= (3.14)(25)

= 78.5

$A_{medium} = 78.5$ square inches

Step: 3

Area of small pizza,

Where, Diameter of small pizza, D = 6 inches

Radius , $r = \frac{d}{2} = \frac{6}{2} = 3 inches$

r = 3 inches

Equation (1) becomes,

$A_{Medium} =\pi 3^{2}$

= (3.14)(9)

= 28.26

$A_{medium} = 28.26$ square inches

Step: 4

Ratio of medium pizza to small pizza in square inches,

$= \frac{ A_{Medium } }{ A_{small} }$

$= \frac{78.5}{28.26}$

= 2.778

Area of medium pizza 2.778 times greater than the area of small pizza.

Result:

The area of small pizza is 2.778 times greater than the area of medium pizza.

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