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
the adjacent sides of a parallelogram are 2x2-5xy+3y2=0 and one diagonal is x+y+2=0 find the vertices and the other diagonal

E1) How is the 'comparison model' different from the 'complementary addition model'? E2) Create one word problem related to the children's world for each of the 4 models liste

Differentiate following functions.                       h (t ) = 2t 5 + t 2 - 5 / t 2 We can simplify this rational expression as follows.                       h (t )


Sharon purchased six adult movie tickets. She spent $43.50 on the tickets. How much was each ticket? To ?nd out the price of each individual ticket, you should divide the total

Properties of the Indefinite Integral 1.  ∫ k f ( x ) dx = k ∫ f ( x ) dx where k refer for any number.  Thus, we can factor multiplicative constants out of indefinite integral

Series - Convergence/Divergence In the earlier section we spent some time getting familiar with series and we briefly explained convergence and divergence.  Previous to worryin

how do we figure it out here is an example 3,4,6,9,_,_,_,_,_,. please help


In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s: