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It takes 3*10^8 years for a particular star to make one orbit around its galaxy. Assume that this star's orbit in its galaxy is circular with a diameter of 10^5 light years. 

There are about 5.859*10^12 miles in 1 light year . Estimate how many miles this star travels in a year.

Scientific notation, round to one decimal place.

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

circumference = pi * diameter

= 3.142 * 10^ 5 light years

in 3*10^8 years the star travels 3.142 * 10^ 5 light years

in 1 year = 3.1432* 10^ 5/ 3* 10^ 8

= 1.0473 * 10^^-3 light years

but 5.859*10^12 miles in 1 light year

miles in  1.0473 * 10^^-3 light years=

1.0473 * 10^^-3 light years/ 1 light year * 5.859*10^12 miles

= 6.1361 * 10^9 miles

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 17th, 2015

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Oct 3rd, 2015
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Oct 3rd, 2015
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