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Kazeer [188]
3 years ago
14

A bicycle wheel has a diameter of 24inches. what is the area of the wheel?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

\large\boxed{A=144\pi\ in^2\approx452.16\ in^2}

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the diameter

d = 24in, then the radius r = (24in) : 2 = 12in.

The formula of an area of a circle:

A=\pi r^2

Substitute:

A=\pi(12)^2=144\pi\ in^2

\pi\approx3.14

Then

A\approx(144)(3.14)=452.16\ in^2

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Step-by-step explanation:

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<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

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That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

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