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Mathematics 14 Online
OpenStudy (anonymous):

Please help I don't understand this! One circular gear has a radius of 3.5 inches . It meshes with another gear that has a radius 3 times as great. What is the circumfrence compare? Use 3.14 for pi???? how do I solve this????

OpenStudy (anonymous):

ratio of the circumference of the gaers is same as the ratio of their radii

OpenStudy (anonymous):

gear1 has radius of 3.5 gear2 has 3*3.5 or 10.5 ratio is 1 to 3 for the radii and circumfrence

OpenStudy (anonymous):

does this help?

OpenStudy (anonymous):

not really I'm still very lost.

OpenStudy (anonymous):

We know that C=2pir. Thus the first gear has a C of C=2(3.14)((3.5in) which is about 22 inches. The second has a C=2(pi)(3*3.5in) which is about 66. As you can see, since the radius of the larger gear is 3 times as large, and the equation for C is of first order linear nature, the circumference will be 3 times as large also.

OpenStudy (anonymous):

Not sure what you mean by "What is the circumfrence compare?"

OpenStudy (anonymous):

sorry I meant how do the circumfrences compare?

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