Home · Unit 1 · Topic 3 · Graphs of relations

Graphs of relations

Recognise and determine features of the graphs of 𝑥2 + 𝑦2 = 𝑟2 and (𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟2, including their circular shapes, centres and radii.

mm-u1-t3-s2-d1

Interactive

Circle equation — centre and radius

manipulative

Drag the centre and a radius handle to see (x−h)²+(y−k)²=r² as the distance definition on the Cartesian plane, with an optional expanded form.

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