Question

The equation of a circle is x2 + (y – 10)2 = 16. The radius of the circle is units. The center of the circle is at .

Answer 1

Step-by-step explanation:

Compare the given equation with

$( {x - h})^{2} + ( {y - k})^{2} = {a}^{2} \\ we \: find \\ - h \: = 0 \\h = 0 \\ - k = - 10 \\ k = 10 \\ hence \: centre \: of \: the \: circle \\ \: (h \, k) = (0 \: ,10) \\ {a}^{2} = 16 \\ a = 4$

Therefore radius of circle = 4 units