The equation in standard form for the circle passing through ( - 2,0) centered at the origin is x² + y² = 4
Equation of a circle.
The formula for calculating the equation of a circle is expressed as:
(x-a)² + (y - b)² = r²
where
- (a, b) is a centre
- r is the radius
Given the following
C = (0, 0)
r =2units
r = √(-2-0)²
Substitute
(x-a)² + (y - b)² = r²
(x-0)² + (y-0)² = r²
x² + y² = 4
Hence the equation in standard form for the circle passing through ( - 2,0) centered at the origin is x² + y² = 4
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