## radian and degree measurement word problem

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
tatiyana
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### radian and degree measurement word problem

im learning about radian and degree measurements and im not so good at word problems... is there anyone out there that can help me with the following?...
assume that the planet venus travels around the sun in a circular orbit. the radius of the orbit is 6.7 x 10^7 mi and the time needed to make one revolution is 243 earth days.
a. determine the angle, in radians, that venus moves through in 1 earth day.
b. determine the distance that venus travels in 1 earth day.

stapel_eliz
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This exercise sounds very similar to the third example on this page.

a) If "once around" takes 243 days, then how much of "once around" (as a fraction) does the planet move in one day?

If "once around" is $2\pi$ radians, then how much of "once around" does the planet move in that day?

b) You are given a radius and you now have an angle measure. Plus these into the arc-length formula, $s\, =\, \theta r$, to find the distance.

tatiyana
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Joined: Thu Sep 17, 2009 8:06 pm
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### Re: radian and degree measurement word problem

thanks so much... that helped me alot and i really appreciate it.