Question

The diameter of a Canadian penny is 19 millimeters. The diameter of a Canadian

nickel is 21 millimeters. How much greater is the area of a Canadian nickel than
the area of a Canadian penny? Show your work.

Answer 1

The Canadian nickel is 62.8 mm^2 greater in area as compared to Canadian penny.

Explanation:

Diameter of Canadian penny = 19 mm

Diameter of Canadian nickel = 21 mm

We need to find How much greater is the area of a Canadian nickel than

the area of a Canadian penny?

First we need to find area of both nickel and penny

They are in circular form, so formula used is:
`Area=\pi r^2`

Finding area of Canadian penny

We know that radius = diameter/2

So, radius = 19/2

radius = 9.5

Area will be:

`Area=\pi r^2\\Area=3.14*(9.5)^2\\Area=283.385 \ mm^2`

So, area of Canadian penny = 283.385 mm²

Finding area of Canadian nickel

We know that radius = diameter/2

So, radius = 21/2

radius = 10.5

Area will be:

`Area=\pi r^2\\Area=3.14*(10.5)^2\\Area=346.185 \ mm^2`

So, area of Canadian nickel = 346.185 mm²

Difference in area can be calculated as: 346.185-283.385 = 62.8

The Canadian nickel is 62.8 mm^2 greater in area as compared to Canadian penny.