lonthebratt lonthebratt
  • 02-03-2020
  • Mathematics
contestada

If (9, 1) and (1,9) are the endpoints of a diameter of a circle, what is the equation of the circle?

Respuesta :

amna04352
amna04352 amna04352
  • 02-03-2020

Answer:

(x - 5)² + (y - 5)² = 32

Step-by-step explanation:

Centre = midpoint of the diameter

(h,k) = (9+1)/2, (9+1)/2 = (5,5)

Radius² = [(9-5)² + ((1-5)²]

= 16 + 16 = 32

Equation:

(x - 5)² + (y - 5)² = 32

Answer Link

Otras preguntas

Which expression can be used to change 75 kilometers per hour to meters per minute?
Find the length of the radius of the following circle. (x + 2)2 + y2 = 10
Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the two larger numbers?
Compute the value of the discriminant and give the number of real solutions to the quadratic equation: 3x^2 - 7x + 9 = 0
Which ancient civilization is associated with the Twelve Tables, an extensive road system, and the poets Horace and Virgil?
A movie starts at 7:00 pm and lasts 108 minutes. What time does the movie end?
'for a good cause if you are determined you are able to overcome any obstacle'. explain
What number is equivalent to 13/2
Earth is a close approximation of a natural closed system.  What are some ways that living in a closed system affects each of us.
What number is equivalent to 13/2