Circles in the Coordinate Plane Quiz 2023-2024

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A low-wattage radio station can be heard only within a certain distance from the station. On the graph below, the circular region represents that part of the city where the station can be heard, and the center of the circle represents the location of the station. Which equation represents the boundary for the region where the station can be heard?

(x + 6)² + (y + 1)² = 16

Write the standard equation for the circle center (-6,-8), that passes through (0,0).

(x + 6)² + (y + 8)² = 100

Write the standard equation for the circle center (-6,7) , r = 9.

(x + 6)² + (y - 7)² = 81

Write the standard equation of the circle in the graph.

(x - 3)² + (y - 2)² = 9

Find m∠U

12°

A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 47°. What is the measure of the arc of the monument that her lines of sight intersect?

133°

Find m∠A

34°

Find the value of x for mAB = 27° and mCD = 49°

38°

Find m∠D for m∠B

50°

The center of a circle is (h,7) and the radius is 10. The circle passes through (3,-1). Find all possible values of h.

9, -3


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