Mathematics

Problem

A circular garden has radius

10\,\text{m}

. A chord cuts off a segment that subtends an angle of

120^\circ

at the centre. a. (i) Calculate the area of this segment. Take

\pi = 3.14

. (Answer in

\,\text{m}^2

.) b. (ii) Determine the length of the corresponding arc. Take

\pi = 3.14

. (Answer in

\text{m}