The equation of circle O is (x + 4)² + (y - 3)² = 36
Step-by-step explanation:
The equation of a circle is (x - h)² + (y - k)² = r², where
∵ O (-4 , 3) , A (x , y) and B (x , 3) creates a right triangle
inside the circle
∵ O is the center of the circle
∵ O = (-4 , 3)
∴ h = -4 and k = 3
∵ Point A lies on the circle
- The length of the radius of a circle is the distance from the
center of the circle to the point on the circle
∴ OA is a radius of the circle
∵ OA = 6 cm
∴ r = 6
∵ The equation of a circle is (x - h)² + (y - k)² = r²
∵ h = -4 , k = 3 , r = 6
- Substitute the values of h , k , r in the equation above
∴ (x - (-4))² + (y - 3)² = (6)²
∴ (x + 4)² + (y - 3)² = 36
The equation of circle O is (x + 4)² + (y - 3)² = 36
Learn more:
You can learn more about the circle in brainly.com/question/1952668
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