Geometry (2023) - Unit 11 Test Review (Circles) | Baamboozle - Baamboozle

The equation of a circle is given. Determine the center of the circle and the length of the diameter.

Center: (1, -5) Diameter: 7*2=14

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A student is using the Pythagorean theorem to derive the equation of a circle with a center (-2, 7) and a radius of 9. What is the equation of the circle?

(x+2)^2 + (y-7)^2 = 81

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Determine the proportional relationship that would correctly solve for the arc length of the shaded sector x.

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A section of a circular sign is shown. What is the area of this section of the sign? Round your answer to the nearest tenth.

(92/360)(π(12)^2)=115.6

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What is the sum of the exterior angles of a convex polygon with 45 sides?

360 (EXTERIOR ANGLES ALWAYS SUM TO 360)

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A circle has a diameter with endpoints (−2,−3) and (6, -3). What is the equation of the circle?

(x-2)^2 + (y+3)^2 = 16

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seesaw

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magnet

Take 25 points!

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gift

Win 10 points!

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banana

Go to last place!

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The circumference of circle J is 72π. What is the length of minor arc NK? Leave your answer in terms of π.

(145/360)*72π = 29π

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trap

No points!

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magnet

Take 10 points!

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shark

Other team loses 25 points!

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lifesaver

Give 15 points!

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If the area of a sector of a circle is 29π m^2 and the measure of its intercepted arc is 76°, what is the length of the radius of the circle?

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eraser

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star

Double points!

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gift

Win 20 points!

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thief

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

(x+1)^2 + (y-2)^2 = 25

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Circle G has a center at (7, 5) and a diameter of 12 units. Which point lies on circle G?

b) (13, 5)

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Given: Circle S and the measure of ∠RST = 88°. What is the measure of ∠RUT?

88/2=44°

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In circle Z, the m∠ABC = 57°. Find the measure of minor arc AC.

2 * 57 = 114°

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A circle has a diameter with endpoints (5,−6) and (6, -7). What is the center of the circle?

midpoint((5, -6),(6, -7)) = (5.5, -6.5)

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