Circle Equations
Write the standard form of the equation of the circle with the given characteristics.
Center: (0, 0); Radius: 2
To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,
- (h, k) is the center; and
- r is the radius
Substitute the values of the center and radius to the standard form.
Given:
(0, 0) - center
2 - radius
- (x - h)² + (y - k)² = 2²
- (x - 0)² + (y - 0)² = 4
- x² + y² = 4
Answer:
- The equation of the circle is x² + y² = 4.
Wxndy~~