How do you find the minimum radius of a circle?

The radius of the circle = (20^0.5)/2 = 5^0.5 = 2.236067978 units. The minimum radius is when those two points represent a diameter of the circle. Calculate the length of that line (Pythagoras will help) and halve it. The minimum radius happens when (2, 0) and (0, 4) become the end points of diameter.

What is the equation of a circle with a radius of 2?

Correct answer: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

What is the minimum radius of a circle passing through (2/0) and (0/4)?

You can form many equations of a circle passing through (2,0) and (0,4), with different radii lengths. But to have a minimum radius, the distance between those two points must be equal to diameter or the largest chord of the circle. So the minimum radius of a circle passing through (2,0) and (0,4) will be, half the distance between these points

What is the formula to find the radius of a circle?

Therefore, the radius of a circle is CP. By using distance formula, (x-h) 2 + (y-k) 2 = CP 2. Let radius be ‘a’. Therefore, the equation of the circle with centre (h, k) and the radius ‘ a’ is, (x-h) 2 +(y-k) 2 = a 2. which is called the standard form for the equation of a circle. Equation of a Circle in General Form

How do you know if an equation is the equation of circle?

How do we know if an equation is the equation of circle? If x and y are squared and the coefficient of x 2 and y 2 are same, then it is equation of circle. For example, 3x 2 +3y 2 = 12 is a circle’s equation.

What is the circumference of a circle equal to?

The circumference of a circle is equal to 2 (pi) of radius or pi of diameter. The area of a circle is equal to the pi of radius-squared. What is the equation of a circle when the center is at the origin?