Question

Answer the following prompts with numerical answers only. If necessary, round answers to the nearest tenth of a unit. The diameter of circle P has endpoints A(-1, 5) and B(4, -3). Use the midpoint formula to find the coordinates of the center of the circle, P(x,y). P( Use Use the distance formula to find the length of the radius of circle P. The length of the r

Answer 1

The midpoint is simply the average of the x and y coordinates of two points.

p=((-1+4)/2, (5-3)/2)

p=(1.5, 1)  so the midpoint, or center of the circle is (1.5, 1)

The distance between the two points, which can be found using an extension of the Pythagorean Theorem.

d^2=(x2-x1)^2+(y2-y1)^2, in this case:

d^2=(4--1)^2+(-3-5)^2

d^2=5^2+(-8)^2

d^2=25+64

d^2=89

d=√89, since d=2r

2r=√89

r=√(89/4)

r=√22.25

r≈4.7 units  (to nearest tenth of a unit)