Question

3. What are the coordinates of the center and the length of the radius of the circle whose equation is(x + 1)^2 + (y - 5)^2 = 16?

Answer 1

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Answer 2

Given data:

The given equationn of the circle is (x + 1)^2 + (y - 5)^2 = 16.

The standard equation of the circle is,

$(x-a)^2+(y-b)^2=r^2$

The given equation can eb written as,

$(x-(-1))^2+(y-5)^2=4^2$

Compare the above equation with standard equation.

$\begin{gathered} a=-1 \\ b=5 \\ c=4 \end{gathered}$

Thus, the coordinate of centre is (-1, 5) and radius is 4.