Answer:
(x + 6)² + (y + 8)² = 100
Step-by-step explanation:
Equation of circle:
(x – h)² + (y – k)² = r²
Step 1: Find the radius
Draw a circle and mark the centre at (-6,-8).
Mark a point at (0,0)
Take a compass and draw a circle.
Draw a vertical line from centre of the circle to the end and find the radius.
The radius is from -8 till 2 which means 10.
Step 2: Find the equation of the circle
(x – h)² + (y – k)² = r²
(x -(-6))² + (y – (-8))² = 10²
(x + 6)² + (y + 8)² = 100
Therefore, the last option is correct.
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