# 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 .