Table of Contents
Summary: The point on the circle centered at the origin with a radius of 5 units is (2 , √21).
Which point is on the circle centered at the origin with a radius of 5 units quizlet?
What is the center of a circle whose equation is x^2 + y^2 + 4x – 8y + 11 = 0?.
How do you find the radius of a circle centered at the origin?
x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .
Which equation represents a circle that contains the point (- 5 and has a center at (- 2 1?
The equation which represents a circle that contains the point (-5, -3) and has a center at (-2, 1) is (x + 2)2 + (y – 1)2 = 52.
How do you find the center point and radius of a circle?
The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being “r”. This form of the equation is helpful, since you can easily find the center and the radius.
What is the center of a circle whose equation is x2 y2 4x?
The center of the circle is (-2,4).
Which equation represents a circle centered at the point H K and radius r?
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
What is a circle with the center at the origin?
Vocabulary Term Definition center The center of a circle is the point that defines the location of the circle. All points on the circle are equidistant from the center of the circle. Circle A circle is the set of all points at a specific distance from a given point in two dimensions.
What is the origin point of a circle?
Because we know the circle is centered at the origin, i.e. (0,0) , we can use this fact along with the point which the circle passes through (−6,−2) to find the radius.
What does centered at the origin mean?
A circle is the set of points that are equidistant (the radius) from a given point (the center). A line segment that passes through the center and has endpoints on the circle is a diameter. In this concept, we are going to place the center of the circle on the origin.
Which equation represents a circle with a center at (- 3/5 and a radius of 6 units?
The equation that represents a circle with a center at (-3, -5) and a radius of 6 units is (x + 3)2 + (y + 5)2 = 36.
Which equation represents a circle that contains the point (- 2 8 and has a center at 4 0?
Equation x2 + y2 – 8x – 84 = 0 represents a circle that contains the point (-2, 8) and has a center at (4, 0).
Which equation represents a circle with a center at (- 4 9?
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.
What is the center of the circle?
The center of a circle is the point equidistant from the points on the edge. Similarly the center of a sphere is the point equidistant from the points on the surface, and the center of a line segment is the midpoint of the two ends.
What is the center of a circle whose equation is x2 plus y2 plus 4x minus 8y +11 equals zero?
The center of the circle of the given equation is x2 + y2 + 4x – 8y + 11 = 0 is (-2, 4).
What is the radius of a circle whose equation is x2 y2?
Summary: The radius of the circle whose equation is x2 + y2 = 9 is 3 units.
Does the point 2 StartRoot 6 EndRoot lie on the circle shown?
Does the point (2,root of 6) lie on the circle shown? Explain. No, the distance from (0, 0) to (2, root of 6) is not 3 units. Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?.
What is the equation of a circle with center at the origin and whose radius is 1?
The equation of a circle written in the form (x−h)2+(y−k)2=r2 where (h,k) is the center and r is the radius. The circle centered at the origin with radius 1; its equation is x2+y2=1.
What is the radius of the circle whose center is the origin and that passes through the point 5 12?
The radius is simply the distance from the center to the edge, and we can use Pythagoras’ Theorem to calculate that for this circle the radius is 13 units.
What is the standard form of the equation of the circle with center at the origin and radius 2?
The standard equation for a circle: (x – a)2 + (y – b)2 = r2, where a and b are the coordinates of the origin, and r is the radius.
What is the general equation of a circle centered at the point HK?
We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.
How do you graph a circle in the center of origin?
Center away from the origin Locate the center of the circle from the equation (h, v). Place the center of the circle at (3, –1). Calculate the radius by solving for r. Plot the radius points on the coordinate plane. Connect the dots to the graph of the circle with a round, smooth curve.
What is a point on the circle whose center is 0 0 and whose radius is 5?
2 Answers By Expert Tutors. The equation of a circle whose center is 0 and who radius is 5 is x^2 + y^2 = 25. This is the Pythagorean formula for a right triangle whose hypotenuse is 5. A known right triangle is a 3-4-5 right triangle.
What is the length of the radius of the circle whose center is the origin and that passes through the point (- 5 )?
1 Expert Answer The radius is 5.
Which equation represents a circle whose center is at the origin and has a radius of 9?
So in this case since the centre is the origin, it implies that a=b=0 , and the radius r=9⇒r2=92=81 . Thus the equation reduces to x2+y2=81 .
What is the center of origin in math?
In a Cartesian coordinate system, the origin is the point where the axes of the system intersect. The coordinates of the origin are always all zero, for example (0,0) in two dimensions and (0,0,0) in three.
What is the standard equation of the circle if its center is at the origin and the radius is 4?
4=√(−2−x)2+(3−y)2 .
What is the equation of a circle whose center is 3/5 and whose radius is 2 cm?
The equation of a circle with the center (3,5) and radius = 2 cm is (x – 3)2 + (y – 5)2 = 4.
What is the center of the circle x² y² 4x 6y 36 0?
The center of the circle is (-2,3).
What is the radius of the circle whose equation is x2 y2 8?
The radius of the circle whose equation is x2 + y2 = 8 is 2√2 units.
Which equation represents a circle?
The general equation for a circle is (x – h)² + (y – k)² = r², where (h, k) represents the center of the circle, r is the radius, and x and y form the coordinates of all the points on the circle’s perimeter.
What is the center of a circle whose equation is x2 y2 12x 2y 12 0?
The center of the circle of the given equation is x2 + y2 – 12x – 2y + 12 = 0 is (6,1).
