Question

The diameter of a circle has endpoints (13,10) and (5,16) Part A: Find the center of the circle Part B: Find the distance of the radius Part C: Write the equation of the circle.

Answer 1

See below ~

Explanation:

Part A : Center

• Midpoint of diameter points
• M = (13 + 5 / 2, 10 + 16 / 2)
• M = (9, 13)

Part B : Radius

• Half of the distance between the points
• 16 - 10 / 2
• 6/2
• radius = 3

Part C : Equation

• (x - 9)² + (y - 13)² = 3²
• x² - 18x + 81 + y² - 26y + 169 = 9
• x² - 18x + y² - 26y + 241 = 0