Write the equation of a circle, Mathematics

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

Solution

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
Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans:    a = 100 APQ a 1 + a 2 + ....... a 6

Let f : R 3 → R be de?ned by:                                        f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y

Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0  y (3) = 6  y′ (3) = -1  We can wri

A plastic manufacturer has 1200 boxes of transparent wrap in stock at one factory and 1000 boxes at his second factory.The manufacturer has order for this product from 3 different

how i do project in linear programming in agriculture



find any integer from 1-128 on a logarithmic scale

un prisma retto ha per base un rombo avente una diagonale lunga 24cm. sapendo che la superficie laterale e quella totale misurano rispettivamente 2800cm e3568cm ,calcola la misura

Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o