The minute hand of a clock is 10 cm long

MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

The minute hand of a clock is 10 cm long. Between 3:10 p.m. and 3:40 p.m. it sweeps out a sector of the dial. (Take π=3.14\pi = 3.14.) (a) Part 1: Find the angle, in degrees, through which the minute hand turns during this interval. (b) Part 2: Calculate the length of the arc traced by the tip of the minute hand. (c) Part 3: Determine the area, in cm2\text{cm}^2, of the sector swept by the minute hand.

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