## What is the equation of a circle?

The standard equation of a circle is given by: (x-h) 2 + (y-k) 2 = r 2. Where (h,k) is the coordinates of center of the circle and r is the radius. Before deriving the equation of a circle, let us focus on what is a circle? A circle is a set of all points which are equally spaced from a fixed point in a plane.

## What is the parametric form of the circle equation?

The parametric equation of circle can be written as x 2 + y 2 + 2hx + 2ky + C = 0 where x = -h + rcosθ and y = -k + rsinθ. The polar form of the equation of the circle is almost similar to the parametric form of the equation of circle.

**What is the standard form of the circle equation?**

Standard form of circle equation is (x – a) 2 + (y – b) 2 = r 2 Substituting the values of centre and radius, (x – 2) 2 + (y – 3) 2 = 1 2 x 2 – 4x + 4 + y 2 – 6y + 9 = 1

**How do you find the polar form of the circle equation?**

The parametric equation of circle can be written as x 2 + y 2 + 2hx + 2ky + C = 0 where x = -h + rcosθ and y = -k + rsinθ. The polar form of the equation of the circle is almost similar to the parametric form of the equation of circle. We usually write the polar form of the equation of circle for the circle centered at the origin.

### How do you make a circle?

A circle is easy to make: from a central point. from the center. Circle: The set of all points on a plane that are a fixed distance from a center. Now let’s work out exactly where all the points are.

### 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.

**How to find the centre and radius of a circle?**

Find the equation of the circle whose centre is (3,5) and the radius is 4 units. Here, the centre of the circle is not an origin. Equation of a circle is x2+y2−12x−16y+19=0. Find the centre and radius of the circle.