The equation of circle having a diameter with endpoints (-3, 1) and (5, 7) is (x - 4)² + (y - 3)² = 25 (x - 1)² + (y - 4)² = 25

Question

3 years ago

12

(x - 1)² + (y - 4)² = 100

2 answers:

Artist 52 [7] · Answer 1 · 2021-12-31T13:30:41+03:00

The length of the diameter = sqrt ( (7-1)^2 + (5 - -3)^2)

= sqrt 100 = 10 units so the radius = 1/2 * 10 = 5 units

so the right side of the equation = 5^2 = 25

Centre of circle = midpoint of the diameter = (-3+5)/2 , (1 + 7)/2 = (1 , 4)

so the correct equation is (x - 1)^2 + (y - 4)^2 = 25

iris [78.8K] · Answer 2 · 2021-12-31T15:35:06+03:00

4 0

Answer:

the answer is:

(x-1)^2+(y-4)^2

Step-by-step explanation: