Mathematics, 17.04.2020 22:37 riiahh22

5. Jill buys two circular pizzas - a small and a medium. The small pizza has
a diameter of 6 inches. The medium pizza has a diameter of 10 inches.
How much greater, in square inches, is the area of the medium pizza than
the small pizza? Use 3.14 for it and if necessary round to the nearest
hundredth place. You do not need to include the words square inches in
your answer.

please help

Answers: 1

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Answers

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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