Question

write the standard form of the equation of the circle with endpoints of a diameter at the points (9,2) and (-7,5)

Answer 1

Explanation:

Answer:

(x-1)²+(y-3.5)² = 265/4

Explanation:

first find the midpoint (center of the circle)

(9+-7)/2, (2+5)/2

(1, 3.5) = center

then distance formula to find diameter

√(9- -7)²+(2-5)²=√256+9 = √265

The radius is half the diameter = (√265)/2

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

(x-1)²+(y-3.5)² = 265/4