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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.

  • A23.5
  • B24.7
  • C22
  • D16.49
  • E33.92

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.

  • A22.00, 1.60
  • B5.71, 11.00
  • C11.43, 11.00
  • D11.43, 1.60

Q15:

In the given circle, cm and cm. Determine the lengths of and .

  • A ,
  • B ,
  • C ,
  • D cm,

Q16:

is a circle with radius 59 cm, and . Find the length giving the answer to the nearest centimeter.

  • A 59 cm
  • B 38 cm
  • C 110 cm
  • D 80 cm

Q17:

If , what is ?

  • A
  • B
  • C

Q18:

The radius of circle is 60.9 cm, and . What is the area of ?