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.
Practise Edexcel A Level Maths 5.3 Areas of Sectors and Segments with exam-style questions for A Level Maths. 20 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.