Question

1) (9,- 4) and (1,8) are thecoordinates of the endpoints of a diameter of a circle. Write the

Answer 1

Answer:

(x-5)²+(y-2)²=52

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+1)/2, (-4+8)/2

(5, 2) = center

then distance formula to find diameter

√(9-1)²+(-4-8)²=√64+144 = √208 = 2√52

The radius is half the diameter = √52

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

Now you can plug everything in.

(x-5)²+(y-2)²=52