Find the center and radius of the circle Write the standard

Find the center and radius of the circle. Write the standard form of the equation. The center of the circle is (Type an ordered pair.) The radius of the circle is The standard form of the equation is Enter your answer in each of the answer boxes.

Solution

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As per Given circle, Coordinates of diametrical ends are A (1,7) and B(12,7)

Hence Coordinates of Circle are midoint of AB

mid point coordinates of (x1,y1) & (x2,y2) is given by

x = (x1 + x2) /2 & y = (y1 +y2) /2

x = (1+12)/2 , y = (7+7)/2

x = 13/2, 7

b) For radius of the circle

We calculate the distance between and A & B (Since AB forms the diameter) and then radius is half of diameter

AB = sqrt ((12-1)^2 + (7-7)^2)

=> AB = 11

Radius = 11/2 units

Standard form of equation of circle is given by

(x-13/2)^2 + (y - 7)^2 = (11/2)^2

Solution