Write the equation of the circle with center R(−1, 8) and radius 5

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Step 1: Note down the given center and radius
NOTE: Assume that (x, y) are the coordinates of a point on the circle shown. The center is at (h,k), and the radius is r.
Step 2: Calculate the given circle radius
NOTE: Radius = distance between center and point on the surface of the circle. So, use the Distance formula to find the equation of the circle.
Step 3: Substitute this values in the equation of a circle.
NOTE: Standard Form for the equation of the circle
(x - h)^2 + (y - k)^2 = r^2
Where center (h, k) and r- radius
EXAMPLE: (x-2)_{\ \ }^2+(y-1)^2=\ 100
Step 4: Simplify the equation further