MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry
Problem
A wheel of radius 0.6m turns through an angle of 72∘.
(a) Find the distance travelled by a point on the rim of the wheel.
(b) Determine the area swept out by a spoke of the wheel during this rotation.
(c) If the wheel completes 50 such rotations, calculate the total distance covered by the point on the rim.