Eight exam-style questions on radians, arc length s = rθ, and sector area A = ½r²θ. Whenever you are stuck, you have four kinds of help, in this order:
🤔 Socratic prompt — a question to get you thinking. 💡 Hint — a piece of method. ✅ Check my answer — try as many times as you like. 👀 Worked solution — the full method, unlocked once you have genuinely tried.
Use radians unless told otherwise. Give angles in radians to 2 d.p. and lengths/areas to the accuracy each question states; where a question asks for an exact multiple of π, leave π in your answer. Keep full accuracy in working and round only at the end — and check your calculator is in the right mode.
Before you close this, take a moment:
π ≈ 3.14 (a half-turn) and π/2 ≈ 1.57 (a right angle). Sense-checking an angle against those catches most slips.r or θ? Whichever it was tells you exactly what to practise next.rθ), not a straight chord? That single habit earns marks.You can print or save this page (including any solutions you opened) using your browser's print function.