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In this lesson, we will learn how to convert radians to degrees and vice versa.

Q1:

Convert π 3 to degrees.

Q2:

Convert 0 . 5 r a d to degrees giving the answer to the nearest second.

Q3:

Convert β 3 . 3 r a d to degrees giving the answer to the nearest second.

Q4:

A gymnast circles a pommel horse by an angle of 5 0 β . Find the angle in radians giving the answer to one decimal place.

Q5:

Find the values of two angles in degrees given their sum is 7 4 β and their difference is π 6 . Give the answer to the nearest degree.

Q6:

Find the values of two angles in radians given their sum is 7 4 β and their difference is 2 π 9 . Give the answer to two decimal places.

Q7:

Convert 1 4 2 4 6 β² 4 8 β² β² β to radians giving the answer to three decimal places.

Q8:

The shadow of a sundial changes at a rate of 1 5 β every hour. Find the angle of the shadowβs position 5 hours after sunrise giving the answer in radians to three decimal places.

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