What is the difference in the areas of a circle with diameter 4 m and a circle with diameter 6 m?

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21-05-2018
Mathematics

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What is the difference in the areas of a circle with diameter 4 m and a circle with diameter 6 m?

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prestonshelton prestonshelton · Answer 1 · 2018-05-21T14:49:08+02:00

Hello!

To solve this you need to use the equation to find the area of a circle which is

[tex]A = \pi r^{2} [/tex]

A is area
r is radius

Solve both circles
------------------------------------------------------------------------------------------------------
Circle 1
[tex]A = \pi 4^{2} [/tex]

Square the number

[tex]A = 16 \pi [/tex]
------------------------------------------------------------------------------------------------------
Circle 2

A = [tex] \pi 6^{2} [/tex]

Square the number

[tex]A = 36 \pi [/tex]
------------------------------------------------------------------------------------------------------
Finding the answer

To get the answer you subtract the numbers

[tex]36 \pi - 16 \pi = 20 \pi [/tex]

The difference is [tex]20 \pi [/tex] which is about 62.83 units

Hope this helps!