Question

A circle requires two coordinates - true or false

Answer 1

Answer:

true

it's true it's true

Answer 2

A Circle required at least 2 coordinates to find its equation. The given statement is Ture.

• The equation of a circle is given by the formula $(x-h)^2 + (y-k)^2 = r^2.$ Where (h,k) are the coordinates of the center of the circle and r is the radius of the circle.
• At least two coordinates are required because the distance between the two points can be the radius of the circle.
• Let the two coordinates are (a,b) and (c,d), the equation of the circle with center (a,b) and (c,d) as the coordinates on the circle is given by,

=>$(x-a)^2 + (y-b)^2 = \sqrt{(c-a)^2+(d-b)^2} }$.

• The only condition where the circle equation can be created with two coordinates is one coordinate is the center of the circle and the other coordinate lies on the circle.

Therefore, It is possible to find the equation of a circle with a least of two coordinates. Hence the given statement is correct.