Write the equation of a circle, Mathematics

Example   Write down the equation of a circle  alongwith radius 8 & center ( -4, 7 ) .


Okay, in this case we have r =8 , h = -4 and k = 7 thus all we have to do is plug them into the standard form of the equation of circle.

( x - ( -4))+ ( y - 7 )2  = 82

(x+ 4)2  + ( y - 7 )2  = 64

Do not perform square of the two terms on the left.  Leaving these terms as they will allow us to rapidly identify the equation as that of a circle and to rapidly identify the radius and center of the circle.

Graphing circles is a properly simple procedure once we know the radius & center.  In order to graph a circle all we actually need is the right most, left most, top most & bottom most points on the circle.  Once we know these it's simple to sketch in the circle.

 Nicely adequate for us these points are simple to find.  As these are points on the circle we know that they have to be a distance of r from the center. Thus the points will have the following coordinates.

right most point : ( h + r, k )

 left most point : ( h - r, k )

top most point : ( h, k +r )

bottom most point : (h, k - r )

In other terms all we have to do is add r on to the x coordinate or y coordinate of the point to obtain the right most or top most point respectively and subtract r from the x coordinate or y coordinate to obtain the left most or bottom most points.

Posted Date: 4/6/2013 6:11:40 AM | Location : United States

Related Discussions:- Write the equation of a circle, Assignment Help, Ask Question on Write the equation of a circle, Get Answer, Expert's Help, Write the equation of a circle Discussions

Write discussion on Write the equation of a circle
Your posts are moderated
Related Questions
Examples of Linear Equation Please provide me some Examples of Linear Equation?

Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9

A recipe calls for 2 1/4 teaspoons of salt for every 1 1/8 teaspoons of black pepper used. How many teaspoons of salt are needed for each teaspoon of pepper used ?

Ask question #suppose that components of a contravariant vector A^i (for n=3)in the coordinate system (x^1,x^2,...,x^n) are A=x,A=y,A=z.Find the components A^p of the vector in the

Finding derivatives

Ray cut 6 pieces of rope . Each piece was between 67 and 84 inches long. What would be the total length of the 6 pieces of rope?

A juicer is available for 3500 cash but was sold under installment plan where the purchaser agreed to pay 1500 cash down and 3 equal quarterly installments. If the dealer charges i

simplify mn+mp+nq+pq /n+p

how do i sole linear epuation