# Worksheet: Arcs and Arcs Measures

Q1:

Given that is a diameter in circle and , determine .

Q2:

Given that is a diameter in circle and , determine .

Q3:

Given that is a diameter in circle and , determine .

Q4:

Suppose that . Determine .

• A
• B
• C
• D

Q5:

Find the measure of the arc that represents of the circumference of a circle.

Q6:

Find the measure of the arc that represents of the circumference of a circle.

Q7:

What is ?

Q8:

An arc has a measure of .

What is the measure of the central angle?

What is the measure of the inscribed angle?

What is the measure of the circumscribed angle?

Q9:

Find and .

• A ,
• B ,
• C ,
• D ,

Q10:

Given that is a diameter in circle M and , determine .

Q11:

Given that is a diameter in circle M and , determine .

Q12:

Given that is a diameter in circle M and , determine .

Q13:

Given that is a diameter in circle M and , determine .

Q14:

An arc measures of the circumference of a circle. What angle does the arc subtend at the center?

• A
• B
• C
• D

Q15:

Which of these is equal to the measure of an arc?

• Athe measure of the central angle subtended by that arc
• Bthe inscribed angle subtended by that arc

Q16:

Suppose that points and on a circle center make times its reflex angle. What is the minor arc ?

• A
• B
• C
• D

Q17:

Given that and , find .

Q18:

Given that measure arc the measure of arc , find .

Q19:

Find .