A segment with endpoints C(-3, 3)and D(7, 3) is the diameter of a circle.
a. What is the center of the circle?
b. What is the length of the radius?
c. What is the circumference of the circle?
d. What is the equation of the circle?
2 answers
look at the points, a diameter is along the y axis. Its length is y1-y2=10
(a) center O is at midpoint of CD (O = (C+D)/2)
(b) radius r is the distance OC or OD (use your distance formula)
(c) circumference = 2pi*r
(d) if O is (h,k) then the equation is (x-h)^2 + (y-k)^2 = r^2 (from a and b above)
(b) radius r is the distance OC or OD (use your distance formula)
(c) circumference = 2pi*r
(d) if O is (h,k) then the equation is (x-h)^2 + (y-k)^2 = r^2 (from a and b above)
2 answers