Equations of Circles12-5
Equation of a Circle
What is the standard equation of the circle with a center at (5, -2) and a radius of 7?
What is the standard equation of each circle?
1. Center: (3, 5) Radius: 6
2. Center (-2, -1) Radius
3. What is the standard equation of each circle?
What is the standard equation of the circle with center (1, -3) that passes through the point (2,2)?
Step1: Distance formula to find the radius.
Step 2: Use the radius and center to write the equation + = + = 26
β (π₯2βπ₯1 )2+( π¦2βπ¦ 1)2
β (2β1 )2+(2β(β3))2
β (1 )2+(5 )2
β1+25β26
4. What is the standard equation of the circle with center (4,3) that passes through the point (-1, 1)?
When you make a call on a cell phone, a tower receives and transmits the call. A way to monitor the range of a cell tower system is to use the equations of circles. Suppose the equation represents the position and the transmission range of a cell tower. What is the graph that shows the position and range?
Position is the center: (7, -2)Range is the radius: = 8
5. What is the center and radius of the circle with the equation . Graph the circle.
Answers for Questions 1-5
1. + = 2. + = 2 3. + = 4 4. + = 5.
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