Find the 12

Find the equation of the circle with center (3,7) and circumference 8π units.

Result

e = (Correct answer is: e=pow(x-3, 2) +pow(y-7, 2) = 16)

Solution:

$c = 8 \pi = 8 \cdot \ 3.1416 \doteq 25.1327 \ \\ r = c/(2 \pi) = 25.1327/(2 \cdot \ 3.1416) = 4 \ \\ \ \\ x_{ 0 } = 3 \ \\ y_{ 0 } = 7 \ \\ \ \\ (x-x_{ 0 })^2 +(y-y_{ 0 })^2 = r^2 \ \\ e = (x-3)^2 +(y-7)^2 = 16$

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For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

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