Circles with and Without Coordinates

Description

- Relationships Among Inscribed Angles, Radii, and Chords - Inscribed and Circumscribed Circles - Relating Arc Length and Area to Radius
Elexali Olayvar
Flashcards by Elexali Olayvar, updated more than 1 year ago
Elexali Olayvar
Created by Elexali Olayvar about 3 years ago
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Question Answer
Point O is the center of the circle in the diagram. What is m∠BCA? A. 80° B. 75° C. 70° D. 65° C. 70°
DG and EG are tangent to circle C and circle F. The points of tangency are A, B, D, and E. If m∠DFE = 140°, what is m∠ACB? A. 160° B. 140° C. 120° D. 110° B. 140
In the diagram, point O is the center of the circle. If m∠ABC = 70°, what is m∠AOC? A. 100° B. 110° C. 140° D. 130° C. 140°
In the diagram, point O is the center of the circle and AC and BD intersect at point E. If m∠AOB = 90° and m∠COD = 16°, what is m∠CED? A. 37° B. 48° C. 53° D. 62° C. 53°
Quadrilateral BCDE is inscribed in circle A as shown. BD divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which statement is true about the triangles? A. The angle bisectors and the perpendicular bisectors for both triangles intersect at the same point. B. The angle bisectors of ∆BCD intersect at the same point as those of ∆BED. C. The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED. D. The angle bisectors of ∆BCD intersect at the same point as the perpendicular bisectors of ∆BED. C. The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.
The triangle in the diagram represents a mold that Anna uses to shape dough before baking. Anna also has a circular mold whose rim just fits inside the rim of the triangular mold. The radius of the circular mold is approximately ___ cm. a. 5.35 b. 9.62 c.. 11.35 5.35
In the diagram, P1P2 and Q1Q2 are the perpendicular bisectors AB of and BC , respectively. A1A2 and B1B2 are the angle bisectors of ∠A and ∠B, respectively. What is the center of the circumscribed circle of ∆ABC? A. P B. Q C. R D. S A. P
A
The figure shows an aerial view of a playground. If David runs around the field three times, he covers a distance of ___yards. 648
Points B and C lie on a circle with center O and radius r = 5 units. If the length of ARC BC is 10.91 units, what is m∠BOC in radians? Use the value π = 3.1416, and round your answer to three decimal places. A. 1.667 radians B. 2.314 radians C. 2.182 radians D. 2.921 radians C. 2.182 radians
What is the area of the shaded region in the diagram? Use the value π = 3.14, and round your answer to two decimal places. A. 19.23 square units B. 9.81 square units C. 1.57 square units D. 9.42 square units D. 9.42 square units
A. 1/4
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