Question 1

Find the equation of the circle with centre (0, 2) and radius 2

Answer

The equation of a circle with centre (*h*, *k*) and radius *r *is given as

(*x *– *h*)2 + (*y* – *k*)2 = *r*2

It is given that centre (*h*, *k*) = (0, 2) and radius (*r*) = 2.

Therefore, the equation of the circle is

(*x* – 0)2 + (*y* – 2)2 = 22

*x*2 + *y*2 + 4 – 4 *y* = 4

*x*2 + *y*2 – 4*y* = 0

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