Define and use radian measure and understand its relationship with degree measure.

Convert \(288^\circ\) to radians. Express your answer as a fraction in terms of \(\pi\).

An arc on a circle of radius $7$ cm subtends a central angle of $144°$ at the centre. (a) Convert $144°$ to radians. Express your answer as a fraction in terms of $\pi$. (1 mark) (b) Calculate the arc length. (1 mark) (c) Calculate the area of the sector. (1 mark)

A circular sector has an arc length of \(15\) cm and a radius of \(6\) cm. (a) Determine the angle subtended by the arc, in radians. Express your answer in simplified form. (b) Convert this angle to degrees, correct to one decimal place. (c) Determine the area of the sector, in cm², correct to two decimal places.