Short-Question

# What is the equation of a circle with center and radius given?

## What is the equation of a circle with center and radius given?

The equation of a circle with center (h,k) and radius r units is (x−h)2+(y−k)2=r2 .

### What is the equation of the circle whose Centre is and radius is 7?

Answer. x^2+y^2+8x-6y–24=0 is the required equation of circle.

What is the standard form of the equation of the circle with center (- 2 3?

The equation for a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center of the circle and r is the radius. Common mistakes when writing the equation are not remembering to flip the signs of h and k . Notice that the center is (−2,3) , but the circle’s equation has the terms (x+2) and (y−3) .

What is the equation of a circle with center at 2 1 and radius 2?

The standard equation of circle is (x − h)2 + (y − k)2 = r2. Let us use this to find the answer.

## What is the standard equation of a circle?

The graph of a circle is completely determined by its center and radius. Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. Draw a circle through these four points.

### What is the equation of a circle with center 2?

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 equation of a circle with center 2 3 and radius 3 apex?

Explanation: The eqn. of a circle with centre (h,k) and radius r is given by, (x−h)2+(y−k)2=r2 .

What is the equation of a circle whose center is at 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.

## How to write the center radius equation for a circle?

Step 1: Write the center-radius equation for the circle. ( x − 0) 2 + ( y − 0) 2 = 8 2 Sub. Step 2: Determine the x-coordinate associated with a y-coordinate of -3. Substitute -3 in for y and solve for x. x 2 + ( − 3) 2 = 64 Sub.

### How to know if an equation is the equation of a 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.

Which is the fixed distance from the center of the circle?

The fixed distance from the center to any point on the circle is called the radius. A line segment from one point on the circle to another point on the circle that passes through the center is twice the radius in length.

How is the diameter of a circle represented?

A line segment from one point on the circle to another point on the circle that passes through the center is twice the radius in length. This line segment is called the diameter of the circle. A circle can be represented by two different forms of equations, the general form and the center-radius form.