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Worksheet: Recognizing and Using Relations Between Arcs, Chords, and Diameters
Q1:
Which segment in this circle is a chord?
- A
- B
- C
Q2:
In the following figure, determine all the chord(s) of the circle.
- A
- B
- C
Q3:
The distance between the two lines and is 13 and . If the radius of the circle is 10.5, what is the length of ? If necessary, round your answer to 2 decimal places.
- A33.92
- B22
- C16.49
- D23.5
- E24.7
Q4:
In the figure, circles and are congruent, , , and . Find the length of .
Q5:
Points and are midpoints of segments and respectively. If , what is ?
Q6:
The radius of the circle below is 87 cm, , and is the midpoint of . Given that intersects at and , find the length of .
Q7:
Given that , and cm, determine the length of .
Q8:
Given that , , , and , determine the value of and the length of .
- A,
- B,
- C,
- D,
Q9:
Given that , , and , find the length of .
Q10:
is a chord in circle whose radius is 25.5 cm. If , what is the length of ?
Q11:
In the circle , if , find the length of .
Q12:
Given and , find .
Q13:
In circle , . Find .
Q14:
In circle , suppose and . Find the lengths of and to the nearest hundredth.
- A11.43, 11.00
- B11.43, 1.60
- C22.00, 1.60
- D5.71, 11.00
Q15:
In the given circle, cm and cm. Determine the lengths of and .
- A,
- B cm,
- C,
- D,
Q16:
is a circle with radius 59 cm, and . Find the length giving the answer to the nearest centimeter.
- A110 cm
- B80 cm
- C59 cm
- D38 cm
Q17:
If , what is ?
- A
- B
- C
Q18:
The radius of circle is 60.9 cm, and . What is the area of ?
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