Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
Answer:
a. (-3,2)
b. sqrt(65)
c. (x + 3)² + (y - 2)² = 65
Step-by-step explanation:
Centre:
midpoint of the diameter
(h,k) = (-10+4)/2, (-2+6)/2
(h,k) = (-3,2)
Length of the diameter:
sqrt[(-2-6)² + (-10-4)²]
sqrt(260)
2sqrt(65)
Radius: ½ × diameter
Radius = sqrt(65)
Equation:
(x - h)² + (y - k)² = r²
(x - -3)² + (y - 2)² = (sqrt(65))²
(x + 3)² + (y - 2)² = 65
