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what is the equation of circle with a center of (8,-2) and radius of 7/2​

Sagot :

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(x - 8)² + (y + 2)² = 49/4

center (h, k) = (8, -2)

radius (r) = 7/2

eq. of circle: (x - h)² + (y - k)² = r²

Standard Form:

(x - 8)² + (y - (-2))² = (7/2)²

(x - 8)² + (y + 2)² = 49/4

General Form:

(x - 8)² + (y + 2)² = 49/4

(x² - 16x + 64) + (y² + 4y + 4) = 49/4

x² + y² - 16x + 4y + 64 + 4 - 49/4 = 0

x² + y² - 16x + 4y + 223/4 = 0

Standard Form: (x - 8)² + (y + 2)² = 49/4

General Form: x² + y² - 16x + 4y + 223/4 = 0