Question

Solve y-3 = -2\4-h (x-h)

Answer 1

Answer:

Step-by-step explanation:Definition

A circle is the set of points equidistant from a point C(h,k) called the center . The fixed distance r from the center to any point on the circle is called the radius .  

The standard equation of a circle with center at C(h,k) and radius r is as follows:

(x - h)2 + (y - k)2 = r2

Example 1

Find the equation of a circle whose center is at (2, - 4) and radius 5.  

Solution to Example 1

Substitute (h , k ) by (2 , - 4) and r by 5 in the standard equation to obtain

(x - 2)2 + (y - (- 4))2 = 52Simplify

(x - 2)2 + (y + 4)2 = 25  

Set h, k and r parameters into this applet and plot the circle. Verify graphically that the equation is that of the circle with the given center and radius.

Answer 2

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