# Math Help - More radian word ploblems

1. ## More radian word ploblems

1.Express the radian measure of each angle in an equilateral triangle in exact form and in approximate form to the nearest hundredth.

2. a) though how many radians does the earth turn on its axis in a leap year? express your answer in exact form.

b) How many hours does it take the earth to rotate through an angle of 150 degrees?

c) How many hours does it take the earth to rotate through and angle of 7/3 pi rad.

3. Express the angle that the second hand on a watch turns through in 1s
a) in degree measure

b) in radians measure in exact form and in approximate form, to the nearest radian.

Thanks so much.

2. Originally Posted by musicismylife2007
1.Express the radian measure of each angle in an equilateral triangle in exact form and in approximate form to the nearest hundredth.

2. a) though how many radians does the earth turn on its axis in a leap year? express your answer in exact form.

b) How many hours does it take the earth to rotate through an angle of 150 degrees?

c) How many hours does it take the earth to rotate through and angle of 7/3 pi rad.

3. Express the angle that the second hand on a watch turns through in 1s
a) in degree measure

b) in radians measure in exact form and in approximate form, to the nearest radian.

Thanks so much.
For most of these, recall that $\pi~rad = 180^o$

1) The interior angles of an equilateral triangle are all 60 degrees.

2a) A leap year contains 366 days. The Earth turns on its axis in 1 day. So we have 366 complete revolutions. What is this angle?

2b) The Earth rotates through 360 degrees every 24 hours. What fraction of 360 is 150? So how many hours does it take?

2c) Same as 2b) except now the Earth rotates $2\pi$ radians every 24 hours.

3a) A watch hand goes a full circle in 60 seconds. So 1 second is what part of a full circle?