Writing the equation of a circle

How do you write the equation of a circle?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.

How do you teach an equation of a circle?

To find the equation of a circle when you know the radius and centre, use the formula ( x − a ) 2 + ( y − b ) 2 = r 2 , where represents the centre of the circle, and.

How do I calculate the area of a circle?

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

Is the equation of a circle a function?

The mathematical formula used to describe a circle is an equation, not one function. For a given set of inputs a function must have at most one output. A circle can be described with two functions, one for the upper half and one for the lower half.

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.

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

The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.

How do you write the standard form of a circle?

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 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.

How do you find the equation of a straight line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

How do you find area?

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

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