Math  /  Geometry

QuestionFind the center and the radius of the circle with the given equation. x2+y220=0x^{2}+y^{2}-20=0
Center: \square (0,0)(0,0) \checkmark
NOTE: Enter the radius in simplified form.
Radius: 252 \sqrt{5} \square \sqrt{ }

Studdy Solution
Identify the radius by comparing x2+y2=20x^{2} + y^{2} = 20 with the standard form (xh)2+(yk)2=r2(x-h)^2 + (y-k)^2 = r^2.
Here, r2=20r^2 = 20, so the radius rr is:
r=20=25 r = \sqrt{20} = 2\sqrt{5}
Solution: - Center: (0,0)(0, 0) - Radius: 252\sqrt{5}

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