A runner moves along the outer edge of a circular track of radius

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A runner moves along the outer edge of a circular track of radius 50 m50\,\text{m}. Starting from point AA, the runner covers an arc length of 314 m314\,\text{m} to reach point BB. (i) Find, in radians, the measure of the angle subtended at the centre by arc ABAB. (Use the exact value of π\pi in your answer.) (ii) Convert the angle obtained in part (i) to degrees, expressing the answer correct to the nearest whole number. (iii) How much farther (in both radians and degrees) must the runner travel from point BB to reach point AA again and complete one full revolution?

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