Determine the equation of the circle graphed below.
1) (x – 3)² + (y + 2)² = 25
2) (x + 3)² + (y – 2)² = 36
3) (x – 3)² + (y + 2)² = 16
4) (x + 3)² + (y – 2)² = 25
Question & Answer
Determine the equation of the circle graphed below
1 Answer
Verified archiveTo determine the equation of a circle, we use the standard form of a circle’s equation, which is ((x – h)² + (y – k)² = r²), where ((h, k)) is the center of the circle and (r) is the radius.
1. The first option ((x – 3)² + (y + 2)² = 25) has the center at ((3, -2)) and a radius of (5) (since (r² = 25)).
2. The second option ((x + 3)² + (y – 2)² = 36) has the center at ((-3, 2)) and a radius of (6) (since (r² = 36)).
3. The third option ((x – 3)² + (y + 2)² = 16) has the center at ((3, -2)) and a radius of (4) (since (r² = 16)).
4. The fourth option ((x + 3)² + (y – 2)² = 25) has the center at ((-3, 2)) and a radius of (5) (since (r² = 25)).
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