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How do you find the radius of the circle with the given equation of x2 plus y2-10x plus 4y plus 4 equals 0?
Given:
x2 + y2 - 10x + 4y + 4 = 0
First, we'll move our constants to the right:
x2 + y2 - 10x + 4y = -4
Then group terms with the same variables together:
x2 - 10x + y2 + 4y = -4
Then complete the squares:
x2 - 10x + 25 + y2 + 4y + 4 = -4 + 25 + 4
(x - 5)2 + (y + 2)2 = 25
And there we have it. This is an equation for a circle whose center point is at (5, -2), with a radius of √25, which equals 5.
What else can I help you with?
Given the circumference of a circle what is the radius?
Circumference equals the diameter times pi. The diameter is 2 times radius. Radius equals Circumference divided by pi then divided by 2.
How do you find the area of a circle when the radius is unknown?
By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.
What is the formula for the diameter or a circle?
If you are given the radius of the circle, you can use the formula: diameter = 2*radius If you are given the circumference of the circle, you can use the formula: diameter = circumference/pi
Where is the center of the circle given by the equation x - 3 squared plus y plus 2 squared equals 9?
The center of the circle given by the equation (x - 3)2 plus (y + 2)2 = 9 is (3,-2).
What fraction of the diameter is the radius of a circle?
the radius is half of the diameter
When you are given pi of a circle how do you find the radius and diameter?
you cant: pi is the same for any circle - 3.1415... the diamter or the radius has to be given diameter divided by two equals the radius the radius times two equals the diameter
How do you find the radius of an inscribed circle of a square given the area of the square?
Half the square root of the square radius equals the circle radius.
What is the equation to get the area of a circle if you have the radius?
The area of a circle is given by: pi multiplied by the square of the radius. So if the radius is 15, the area is 225pi (225 is 15 squared)
What is the center of the circle given that the equation is x - 9 2 plus y 2 equals 484?
(x-9)2 + y2 = 484The center is atx = 9y = 0The radius of the circle is 22 .
Given the circumference of a circle what is the radius?
Circumference equals the diameter times pi. The diameter is 2 times radius. Radius equals Circumference divided by pi then divided by 2.
The circle is centered at the origin and the length of its radius is 10. what is the circle equation?
The equation of a circle centered at the origin with a radius ( r ) is given by the formula ( x^2 + y^2 = r^2 ). In this case, since the radius is 10, the equation becomes ( x^2 + y^2 = 10^2 ). Therefore, the equation of the circle is ( x^2 + y^2 = 100 ).
What is the circumference of a circle if the radius is 4.83cm?
The circumference of a circle is given by the equation C=2*pi*r (r being the circle's radius). So, the circumference you're looking for is 30.35 cm.
This circle is centered at the origin and the length of its radius is 3. What is the equation of the circle?
The equation of a circle centered at the origin (0, 0) with a radius ( r ) is given by the formula ( x^2 + y^2 = r^2 ). For a circle with a radius of 3, the equation becomes ( x^2 + y^2 = 3^2 ), which simplifies to ( x^2 + y^2 = 9 ).
How To find the standard equation for a circle centered at the origin we use the distance formula since the radius measures?
To find the standard equation for a circle centered at the origin, we use the distance formula to define the radius. The equation is derived from the relationship that the distance from any point ((x, y)) on the circle to the center ((0, 0)) is equal to the radius (r). Thus, the standard equation of the circle is given by (x^2 + y^2 = r^2). Here, (r) is the radius of the circle.
How do you find circumference given radius?
2 pi rthis is the equation of the circumference of a circle. just multiply out 2 times pi(3.14159) times the radius that you were given.
How do you find the area of a circle if the diameter is given?
multiple the diameter by 2 to get the radius, then use your equation and go from there
What is the general form of the equation of a circle with center a (ab) and the radius of length m?
The general form of the equation of a circle with center at the point ( (a, b) ) and a radius of length ( m ) is given by the equation ( (x - a)^2 + (y - b)^2 = m^2 ). Here, ( (x, y) ) represents any point on the circle. This equation expresses that the distance from any point on the circle to the center ( (a, b) ) is equal to the radius ( m ).
