ADVANCED EXERCISES - Radian Measure of Angles

(1) Find two positive and two negative coterminal angles for 725o (in radians).

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(2) In a circle of area 100pi some angle theta subtends an arc of 7.85. What is the circumference of that circle?


(3) Farmer Olaf has a Saskatoon Berry pie that he has cut into a certain number of equal pieces. The area of each piece of pie is 78.5 cm2. If the diameter of the pie is 30 cm:

  1. what is the measure of the angle that subtends each piece (in radians)?

  2. how many pieces is the pie cut in to?


Introductory Exercises Moderate Exercises