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Use the information provided to write the standard form equation of each circle. 1) Center: (-11, -8) Radius: 2 (x + 11) 2 + (y + 8) 2 = 4 2) Center: (10, -4) Radius: 5 (x - 10) 2 + (y + 4) 2 = 25 3) Center: (-2, -13) Radius: 2 (x + 2) 2 + (y + 13) 2 = 4 4) Center: (-12, 12) Radius: 3 (x + 12) 2 + (y - 12) 2 = 9 5) Center: (0, 0) Radius: 2 x2 ...
Equation of a Circle. A circle is a set of points in the xyplane that are a fixed distance r from a fixed point (h, k), where (h, k) is the center of the circleand ris the radius. Another way to state this is that a circle is the locus of points in a plane equidistant from a given point.
Equations of Circles Date_____ Period____ Identify the center and radius of each. Then sketch the graph. 1) (x − 1)2 + (y + 3)2 = 4 x y −8 −6 −4 −2 2 4 6 8 ... Use the information provided to write the equation of each circle. 9) Center: (13 , −13) Radius: 4 (x − 13)2 + (y + 13)2 = 16 10) Center: (−13 , −16) Point on Circle ...
find the equation of a circle, given its centre and radius; find the centre and radius of a circle, given its equation in standard form; find the equation of the tangent to a circle through a given point on its circumference; decide whether a given line is tangent to a given circle.
What is the equation of the circle? To determine the equation of a circle, we need the center and the radius. Center is the midpoint of the diameter's endpoints. The radius is 1/2 the length of the diameter... Using the distance formula to find the length: 36+64 Radius: 5 Center (h, k): (4, O) (to check, plug in both endpoints
1. Equations for circles in the Oxy plane. The obvious characteristic of a circle is that every point on its circumference is the same distance from the centre. This fixed distance is called the radius of the circle and is generally denoted by R or r or a.
The document provides examples of writing the equation of a circle given information about its center and radius. It gives the steps to: 1) find the radius from a diameter or points on the circle, 2) write the standard form of the equation using the center and radius, and 3) state the center and radius given the equation of a circle.
