# Worksheet: Conversion between Radians and Degrees

In this worksheet, we will practice converting radians to degrees and vice versa.

**Q2: **

Convert to degrees giving the answer to the nearest second.

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**Q3: **

Convert to degrees giving the answer to the nearest second.

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**Q4: **

A gymnast circles a pommel horse by an angle of . 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 and their difference is . Give the answer to the nearest degree.

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**Q6: **

Find the values of two angles in radians given their sum is and their difference is . Give the answer to two decimal places.

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**Q7: **

Convert to radians giving the answer to three decimal places.

**Q8: **

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