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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What will be the equation of a circle with a center at (–3, –5) and a radius of 6 units?
Solution:
Given, center coordinates = (-3, -5) and radius = 6 units.
Using the standard equation of the circle, which is :
(x - h)2 + (y - k)2 = r2 , where:
h = x coordinate of the center
k = y coordinate of the center
Thus on substituting the value of h, k, and r in the standard equation, we get:
(x + 3)2 + (y + 5)2 = 62
⇒ (x + 3)2 + (y + 5)2 = 36
Thus the equation of the circle, can be given as (x + 3)2 + (y + 5)2 = 36.
⇒ x2 + y2 + 6x +10y = 36 - 9 -25
⇒ x2 + y2 + 6x +10y =2
What will be the equation of a circle with a center at (–3, –5) and a radius of 6 units?
Summary:
The equation of the circle, can be given as (x + 3)2 + (y + 5)2 = 36 or x2 + y2 + 6x +10y=2
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