Question
In the standard (x,y) coordinate plane, the graph of (x + 3)2 + (y + 5)2 = 16 is a circle. What is the circumference of the circle, expressed in coordinate units?
Answers
Jai
The given equation follows the general equation for circles, which is
(x - a)^2 + (y - b)^2 = r^2
where
(a,b) = the point where the center of the circle lies
r = radius
From the equation,
(x + 3)^2 + (y + 5)^2 = 16
r^2 = 16
r = 4 units
Recall that the circumference of a circle is given by
C = 2*pi*r
Substituting,
C = 2*3.14*2
C = 25.12 units
hope it helps~ :)
(x - a)^2 + (y - b)^2 = r^2
where
(a,b) = the point where the center of the circle lies
r = radius
From the equation,
(x + 3)^2 + (y + 5)^2 = 16
r^2 = 16
r = 4 units
Recall that the circumference of a circle is given by
C = 2*pi*r
Substituting,
C = 2*3.14*2
C = 25.12 units
hope it helps~ :)
ㅤ
2 π r
You got r=4
Ans you substitute r=2
You got r=4
Ans you substitute r=2