Question

Find the radius of (x - 3)^2 + (y + 1)^2 = 9
(x + 5)^2 + (y + 2)^2 = 36

Answer 1

Answer: First equation: 3

Second equation: 6

Explanation:

First equation:

The standard equation for a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the vertex of the circle and r is the radius

To find the radius, set r^2=9, since 9 is taking the place of r^2.

Square root each side, and only positive values are taken for a radius, so the radius is 3.

Second equation:

Using the same logic, we can find the radius for the second one.

The radius is r^2=36(remember that r^2 is taking place of 36)

Take the square root of both sides(only +), so the radius for the second problem is 6.

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