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Worksheet: Circle Theorems

Q1:

Given that and , find and .

  • A,
  • B,
  • C,
  • D,

Q2:

Given that and , find and .

  • A,
  • B,
  • C,
  • D,

Q3:

Given that and , find and .

  • A,
  • B,
  • C,
  • D,

Q4:

Given that , find and .

  • A,
  • B,
  • C,
  • D,

Q5:

Given that , find and .

  • A,
  • B,
  • C,
  • D,

Q6:

Given that , find and .

  • A,
  • B,
  • C,
  • D,

Q7:

What is ?

  • A
  • B
  • C
  • D

Q8:

Given that , find .

Q9:

Given that , find .

Q10:

Given that and , find the value of .

Q11:

Find .

Q12:

Find .

Q13:

Given that , and , find , and .

  • A, ,
  • B, ,
  • C, ,
  • D, ,

Q14:

Given that and , determine and .

  • A,
  • B,
  • C,
  • D,

Q15:

Find and .

  • A,
  • B,
  • 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:

Given that , find .

  • A
  • B
  • C
  • D

Q18:

Determine .

  • A
  • B
  • C

Q19:

Determine .

  • A
  • B
  • C

Q20:

Given that , find the value of .

  • A50
  • B40
  • C80
  • D100

Q21:

Given that , determine .