The minute hand of a clock is long.

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

The minute hand of a clock is 7 cm7\,\text{cm} long. (i) Calculate the distance travelled by the tip of the minute hand between 4:00 p.m.4{:}00\,\text{p.m.} and 4:25 p.m.4{:}25\,\text{p.m.}. Give your answer correct to one decimal place. (ii) Find the area swept out by the minute hand during the same time interval. Express your answer correct to one decimal place in square centimetres. (iii) If the clock face were enlarged so that the minute hand became 10.5 cm10.5\,\text{cm} long, how would the answers to parts (i) and (ii) change? Give the new values correct to one decimal place.

Related theory

Browse the problem library