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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)
Use the information provided to write the standard form equation of each circle. 1) Center: (-11, -8) Radius: 2. 3) Center: (-2, -13) Radius: 2. 5) Center: (0, 0) Radius: 2. 2) Center: (10, -4) Radius: 5. 4) Center: (-12, 12) Radius: 3. 6) Center: (0, 0) Radius: 2. Write the equation in standard form of each circle. 7) . 8) .
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.
To find the center and the radius of a circle using the equation of the circle: Write the equation of the circle in standard form: \((x- h)^2+( y-k)^2= r^2\), The center of the circle is at \(h,k\), and its radius is \(r\).
Use the information provided to write the standard form equation of each circle. 1) 8 x + x2 − 2y = 64 − y2 2) 137 + 6y = −y2 − x2 − 24 x 3) x2 + y2 + 14 x − 12 y + 4 = 0 4) y2 + 2x + x2 = 24 y − 120 5) x2 + 2x + y2 = 55 + 10 y 6) 8x + 32 y + y2 = −263 − x2 7) Center: (−11 , −8) Radius: 4 8) Center: (−6, −15) Radius: 5
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.
Question. What is the centre of the circle with the equation (x − 1)2 + (y + 2)2 = 9 ? Step-by-Step: 1. Find the brackets with the x in it. 2. Look at the number in these brackets and the sign in front of it. In our example, it is − 1 . 3. Change the sign of the answer (−1) to find the x-coordinate of the centre of the circle. −1 → 1.
