Write an equation of a circle with diameter A B

Question

A (2, 2) and B (14, 2)

Answer 1

Use the Midpoint Formula to find the center of the diameter and therefore the center of the circle

(x₁+x₂)/2, (y₁+y₂)/2

(14+2)/2 = 8

(2+2)/2 = 2

So the center of the circle is (8,2) = (h,k)

The distance between two points will give us the radius. We will use the first point =(14, 2) and the center point (8,2) to give

d = sqrt((14 -8)² + (2 -2)²)

d = sqrt(6)² = 6

^{So the equation of your circle is}

(x - 8)² + (y - 2)² =36

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