A circle is defined by the parametric equations x=5+2cosθx = 5 + 2 \cos \thetax=5+2cosθ , y=3+2sinθy = 3 + 2 \sin \thetay=3+2sinθ
Show that the Cartesian equation of the circle is (x−5)2+(y−3)2=4(x - 5)^2 + (y - 3)^2 = 4(x−5)2+(y−3)2=4 and hence find the centre and the radius of the circle.
215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.