Question

If one end of the diameter of a circle with centre as
origin is (-2, 10), then the length of diameter of the
circle is
​

Answer 1

Answer:

4√26 unit

Step-by-step explanation:

one end of the diameter of a circle with centre as

origin is (-2, 10)

Center is at origin = (0, 0)

Radius = √ ( -2 - 0)²  + (10-0)²  =  √4 + 100  =√104  = 2√26

Diameter =  2 * radius = 2 *  2√26  = 4√26 unit

Another way

one end (-2, 10)

origin (0,0)

other end ( x , y)

(x + (-2))/2 = 0  => x = 2

(y + 10)/2 = 0 => y = -10

Diameter = √  (-2 - 2)² + (10 - (-10))² = √4² + 20²

= 4√1 + 5²

= 4 √26 unit