#### Write an equation of a circle with the given center and radius

## How do you find the equation of a circle with the center and radius?

The center-radius form of the circle equation is in the format (x – h)^{2} + (y – k)^{2} = r^{2}, with the center being at the point (h, k) and the radius being “r”.

## How do you write the equation of a circle?

First you need to know that the equation for a circle is (x-a)^2 + (y-b)^2 = r^2 where the center is at point (a,b) and the radius is r. so for instance (x-2)^2 + (y-3)^2 = 4 would have the center at (2,3) and have a radius of 2 since 4 = 2^2.

## How do you write an equation of a circle in standard form?

The standard form of a circle’s equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

## How do I calculate the area of a circle?

The area of a circle is pi times the radius squared (A = π r²).

## Is a circle a function?

A circle is a set of points in the plane. A function is a mapping from one set to another, so they’re completely different kinds of things, and a circle cannot be a function.

## How do you find the equation of a line?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

## What does the equation of a circle mean?

The equation of a circle is a way to express the definition of a circle on the coordinate plane. If the center of the circle is at the origin of the coordinate plane, the equation is where r is the radius. When the center of the circle is at the point (h,k), the equation becomes .

## What is the equation of a circle calculator?

How to Use the Equation of a Circle Calculator?Step 1: Enter the circle centre and radius in the respective input field.Step 2: Now click the button “Find Equation of Circle” to get the equation.Step 3: Finally, the equation of a circle of a given input will be displayed in the new window.

## What’s a standard form?

Standard form is a way of writing down very large or very small numbers easily. So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.