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Write the equation of a circle with a center of (-7, 3) and a radius of 8. 2. Write the equation of a circle with a center of (-1, -1) that goes through the point (2, -1). 3. Write the equation of the circle pictured. Starter Activity. Solving Systems involving Circles.
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Write the equation of a circle with a center of (-7, 3) and a radius of 8. 2. Write the equation of a circle with a center of (-1, -1) that goes through the point (2, -1). 3. Write the equation of the circle pictured. Starter Activity
Step 1: Graph the circle and the line on the SAME coordinate grid. • Step 2: Find the point(s) of intersection. • Step 3: Check the intersection(s) with your calculator. Circle and a Line
Find the point(s) of intersection of: Solutions: (1, -1) & (3, -3) Example 1
Find the point(s) of intersection of: and Solutions: (2, 2) & (-4, 2) Example 2
Step 1: Graph the circle and the line on the SAME coordinate grid. • Step 2: Find the point(s) of intersection. • Step 3: Check the intersection(s) with your calculator. Circle and a Circle
Find the intersection of: and Solution: NO Intersection Example 1
Find the intersection of: and Solution: (2, 1) Example 2
Find the intersection of: and Solutions: (3, 2) & (0, -1) Example 3