Mathematics
Grade9
Easy
Question
Write the standard equation of the circle.
Hint:
The radius of circle is the distance between center of circle and any point on the circle. Using distance between two points formula find radius and substitute them in the equation of a circle with radius r and center at the origin is 
.
The correct answer is:
The equation of a circle with radius r and center at the origin is .
Given, The centre of circle is (0, 0)
The circle passes through the point (0, 4)
Radius of circle = Distance between centre (0,0) and the point that lies on the circle (0,4)
So, equation of circle is 
.
Therefore, the standard equation of the circle is .
So, equation of circle is
.Therefore, the standard equation of the circle is
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