IB skill practice

Use radians, arc length, and sector area

Convert common degree measures to radians and use exact radian values for arc length and sector area.

Paper 1 6 marks Difficulty 2

Use radians to find arc length and sector area

A circular sector has radius \(12\) and central angle \(135\) degrees. Convert the angle to radians, then find the exact arc length \(s\) and sector area \(A\). Enter each answer as the coefficient of \(\pi\).

Worked practice: radians, arc length, and sector area

Convert the angle to a coefficient of pi, then use it in the arc length and sector area formulas.