A circular window in a design studio is represented by the equation x2+y2−20x+16y+4=0x^2 + y^2 - 20x + 16y + 4 = 0x2+y2−20x+16y+4=0 in a coordinate system where units are in decimetres.
A decorative structural beam forms a chord PQ PQ\,PQ across the window. The angle subtended by the chord PQ PQ\,PQ at the centre of the window is 1.4 radians.
Calculate the area of the minor segment created between the beam PQ PQ\,PQ and the arc of the window. Give your answer to three significant figures.
21 exam-style questions on OCR (MEI) A Level Maths 1.7.13 Arc length and area of a sector (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.