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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.
Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?
(x - 9)2 + (y + 4)2 = 25
(x + 4)2 + (y - 9)2 = 25
(x - 9)2 + (y + 4)2 = 100
(x + 4)2 + (y - 9)2 = 100
Solution:
Given: Center of the circle(-4,9) and
Diameter = 10 units
Radius = diameter/2 = 10/2 = 5 units
The standard equation of the circle is
(x - h)2 + (y - k)2 = r2
Where h = x coordinate of the center
k = y coordinate of the center
r = radius of the circle
Now substituting the values in the equation
(x + 4)2 + (y - 9)2 = 52
(x + 4)2 + (y - 9)2 = 25
Therefore, the equation of the circle is (x + 4)2 + (y - 9)2 = 25.
Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?
(x - 9)2 + (y + 4)2 = 25
(x + 4)2 + (y - 9)2 = 25
(x - 9)2 + (y + 4)2 = 100
(x + 4)2 + (y - 9)2 = 100
Summary:
The equation which represents a circle with a center at (-4, 9) and a diameter of 10 units is (x + 4)2 + (y - 9)2 = 25.
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