Question

the minute hand of a circular clock is 14 cm. long.How far does the tip of the minute hand move in 45 minutes

Answer 1

radius= 14cm. angle of sector= 45' =(45×6)°=270°
Area swept by minute hand in 45 minutes= area of sector.
=πr^2 × angle of sector/360°
=22/7 ×14×14×270/360

=22×2×14×27/36
=22×14×27/18
=22×14×3/2
=11×14×3
=11×42
=462cm^2.