Area of a Circle and a Sector Answers

The equation of a circle is x2 + (y – 10)2 = 16. The radius of the circle is units. The center of the circle is at .

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Which equation represents a circle with a center at (2, –8) and a radius of 11?

Concentric circles are circles with the same center but different radii. Which equations represent concentric circles along with the circle shown in the graph? Check all that apply.

What is the equation of the circle shown in the graph?

A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle? Check all that apply.(x – 12)2 + y2 = 12(x – 6)² + y² = 36x² + y² = 12x² + y² = 144(x + 6)² + y² = 36(x + 12)² + y² = 144

What are the lengths of the sides of the right triangle that is formed? Check all that apply.

A circle centered at the origin contains the point (0, –9). Does (8, ) also lie on the circle? Explain.

Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply.To begin converting the equation to standard form, subtract 36 from both sides.To complete the square for the x terms, add 4 to both sides.The center of the circle is at (–2, 3).The center of the circle is at (4, –6).The radius of the circle is 6 units.The radius of the circle is 49 units.

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Is Amit’s work correct?

The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?