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Parametric Equations

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Question 40

A circle is defined by the parametric equations x=4+3cos⁡θx = 4 + 3 \cos \thetax=4+3cosθ , y=2+3sin⁡θy = 2 + 3 \sin \thetay=2+3sinθ

a.

Show that the Cartesian equation of the circle is

(x−4)2+(y−2)2=9 (x - 4)^2 + (y - 2)^2 = 9 (x−4)2+(y−2)2=9
[1]
b.

Hence find the centre and the radius of the circle.

[2]
Markscheme

Parametric Equations Questions

  1. A Level
  2. /Maths
  3. /Parametric Equations

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.

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