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neonofarm [45]
2 years ago
9

Give the equation of the circle centered at the origin and passing through the point (0,5)

Mathematics
1 answer:
Julli [10]2 years ago
5 0

Answer:

x^{2} +y^{2}=25

Step-by-step explanation

The standard equation of a circle centered at origin is  x^{2} +y^{2} =r^{2}

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius  r=\sqrt{(0-0)^{2}+(5-0)^{2} }

               r=\sqrt{0+25}

               r=\sqrt{25}

               r^{2}=25

∴ The equation of the circle is

     x^{2} +y^{2} = 25

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