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STANDARD G.GPE.A.1. GEO/AII. a Derive the equation of a circle of given center and radius using the Pythagorean Theorem. Find the center and radius of a circle, given the equation of the circle. • Finding the center and radius may involve completing the square.
Use the information provided to write the equation of each circle. 9) Center: (13 , −13) Radius: 4 10) Center: (−13 , −16) Point on Circle: (−10 , −16) 11) Ends of a diameter: (18 , −13) and (4, −3) 12) Center: (10 , −14) Tangent to x = 13 13) Center lies in the first quadrant Tangent to x = 8, y = 3, and x = 14 14) Center: (0, 13)
Essential Question. What is the equation of a circle with center (h, k) and radius r in the coordinate plane? The Equation of a Circle with Center at the Origin. Work with a partner. Use dynamic geometry software to construct and determine the equations of circles centered at (0, 0) in the coordinate plane, as described below. Radius.
The standard equation of a circle with center (h, k) and radius = r is Match each graph with its equation. Give the radius and coordinates of the center of the circle with the given equation.
Given a circle with the center (5, 1) and a point on the circle (8, -2). Given a circle with the center at the origin and passing through (4, 3). Extension (Hint: find the coordinates of the center first)
Visually, you can imagine rotating the point 𝑃 in a counterclockwise arc around a circle with center 𝐶 and radius 𝐶𝑃 to find the point 𝑄. All positive angle measures 𝜃 assume a counterclockwise motion; if citing a clockwise rotation, the answer should be labeled with CW.
e o m e Name: 11.7 Worksheet - Circles ris 1. The standard equation of a circle with center (h, k) and radius = Match each graph with its equation. (3/0) 4 A. x2 + = 4 36 -2,3) Give the radius and coordinates of the center of the circle with the given equation. Then graph the circle. radius = (010) 16 radius - center: radius =.
