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The equation of a circle in a Cartesian coordinate system is typically expressed as ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center of the circle and (r) is the radius. This equation describes all points ((x, y)) that are at a distance (r) from the center ((h, k)). If the circle is centered at the origin, the equation simplifies to (x^2 + y^2 = r^2).
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What is the equation for the radius of a circle?
The radius of a circle = the diameter of the circle divided by 2
What is the center point in the following equation of the circle?
To identify the center point of a circle from its equation, you typically look for the standard form of the circle's equation, which is ((x - h)^2 + (y - k)^2 = r^2). In this format, ((h, k)) represents the center of the circle, where (h) and (k) are constants. If you provide the specific equation of the circle, I can help you determine the center point.
The equation of the inner circle is x2 plus y2 equals 9 The radius of the outer circle is twice the radius of the inner circle What is the equation of the outer circle?
x^2+y^2=36
When you make the circle bigger or smaller which number of the standard equation for a circle centered at the origin changes?
Standard equation for a circle centred at the origin is x2 + y2 = r2 where r is the radius of the circle. If you increase the size of the circle then the radius must increase, so r2 will be larger. eg a circle of radius 2 has the equation x2 + y2 = 4, if the radius increases to 3 then the equation becomes x2 + y2 = 9
IS it true or false that the solution set of an equation of a circle is all of the point that lie on the circle?
True. The solution set of an equation of a circle consists of all the points that lie on the circle. This is defined by the standard equation of a circle, which is typically in the form ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius. Any point ((x, y)) that satisfies this equation lies on the circle.
What is the equation for calculating the area of a circle?
The equation for calculating the area of a circle is A r2, where A represents the area and r is the radius of the circle.
If a circle is centered at the origin and the length of its radius is 6 What is the circle's equation?
The general equation of a circle is given by the formula(x - h)2 + (x - k)2 = r2, where (h, k) is the center of the circle, and r its radius.Since the center of the circle is (0, 0), the equation reduces tox2 + y2 = r2So that the equation of our circle is x2 + y2 = 36.
When you make the circle smaller which number in the standard equation for a circle centered at the origin decreases?
The radius of the circle decreases when you make the circle smaller.
What is the equation for the radius of a circle?
The radius of a circle = the diameter of the circle divided by 2
Is the equation for a circle a function?
The equation for a circle is a function in that it can be graphed and charted. One common equation is x^2 + y^2 = r^2.
What is the equation for a circle with a center of (0 0) and a radius of 9?
The equation of the circle is: x^2 + y^2 = 81
What is the center point in the following equation of the circle?
To identify the center point of a circle from its equation, you typically look for the standard form of the circle's equation, which is ((x - h)^2 + (y - k)^2 = r^2). In this format, ((h, k)) represents the center of the circle, where (h) and (k) are constants. If you provide the specific equation of the circle, I can help you determine the center point.
The equation of the inner circle is x2 plus y2 equals 9 The radius of the outer circle is twice the radius of the inner circle What is the equation of the outer circle?
x^2+y^2=36
The center of a circle is located at c(3-13). The x-axis is tangent to the circle at (30). Find the equation of the circle?
Equation of the circle: (x-3)^2 +( y+13)^2 = 169
When you make the circle bigger or smaller which number of the standard equation for a circle centered at the origin changes?
Standard equation for a circle centred at the origin is x2 + y2 = r2 where r is the radius of the circle. If you increase the size of the circle then the radius must increase, so r2 will be larger. eg a circle of radius 2 has the equation x2 + y2 = 4, if the radius increases to 3 then the equation becomes x2 + y2 = 9
IS it true or false that the solution set of an equation of a circle is all of the point that lie on the circle?
True. The solution set of an equation of a circle consists of all the points that lie on the circle. This is defined by the standard equation of a circle, which is typically in the form ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius. Any point ((x, y)) that satisfies this equation lies on the circle.
What is the equation to find the perimeter of a circle?
Circumference ("perimeter") of a circle = (pi) x (diameter of the circle)
