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Question 11 Mark
Find the equation of the circle with centre $(-3, 2)$ and radius $4$
Answer
Here centre of circle is $(-3,2)$ and radius $r = 4$
$h = –3, k = 2$ and $r = 4.0$
herefore, the equation of the required circle is $(x + 3)^2 + (y - 2)^2 = 16$
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Question 21 Mark
Find an equation of the circle with centre at $(0,0)$ and radius $r.$
Answer
Here $(h, k) = (0,0)$ Therefore, the equation of the circle is $(x - 0)^2 + (y - 0)^2 = r^2 $
$\Rightarrow x^2 + y^2 = r^2$
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