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Mathematics 21 Online
OpenStudy (rayman5766):

A wheel has a diameter of 21 inches. Approximately how far does it travel in 3 revolutions? A. 63 in. B. 65.94 in. C. 98.91 in. D. 197.82 in.

OpenStudy (rayman5766):

i ythink its B

OpenStudy (rayman5766):

@Data_LG2

OpenStudy (mathstudent55):

In three revolutions it travels three times its circumference. You need to find the circumference of the wheel and multiply by 3.

OpenStudy (mathstudent55):

Do you know the formula for the circumference of a circle?

OpenStudy (astrophysics):

First you need to figure out how far it will travel in 1 revolution. So 21 x pi = ~ 66 inches (circumference) that gives you 1 revolution

OpenStudy (rayman5766):

no and I thought it was C

OpenStudy (astrophysics):

Cricumference is 2*pi*r

OpenStudy (astrophysics):

But you have diameter, so pi*d

OpenStudy (mathstudent55):

\(C = \pi d\) The circumference of a circle is pi multiplied by the diameter. You have the diameter; it's 21 inches. Use 3.14 for pi. What do you get for the circumference?

OpenStudy (rayman5766):

I got A

OpenStudy (astrophysics):

`In three revolutions it travels three times its circumference.`

OpenStudy (rayman5766):

wait what you guys get

OpenStudy (mathstudent55):

3.14 * 21 is not equal to A 3.14 * 21 must equal a number What do you get when you multiply 3.14 by 21?

OpenStudy (mathstudent55):

Use a calculator. 3.14 * 21 = ?

OpenStudy (rayman5766):

65.94

OpenStudy (astrophysics):

Yes, so now multiply that by 3

OpenStudy (rayman5766):

197.82

OpenStudy (astrophysics):

Yeah :)

OpenStudy (mathstudent55):

Great. That is the circumference of the wheel. In one revolution, the wheel travels 65.94 in. In 3 revolutions, the wheel travels 3 * 65.94 in. Now multiply 3 * 65.94 to find your final ansswer.

OpenStudy (rayman5766):

ok cool thanks guys

OpenStudy (mathstudent55):

I see; you got it already. Great!

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