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In this lesson, we will learn how to find measures of arcs.

Q1:

Given that π΄ π΅ is a diameter in circle π and π β π· π π΅ = ( 5 π₯ + 1 2 ) β , determine π π΄ πΆ .

Q2:

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

Q3:

Find the measure of the arc that represents 1 6 of the circumference of a circle.

Q4:

Given that π΄ π΅ is a diameter in circle M and π΄ πΆ π· π΅ = 8 5 6 7 , determine π π΄ πΆ π· .

Q5:

An arc measures 5 3 1 2 0 of the circumference of a circle. What angle does the arc subtend at the centre?

Q6:

Suppose that π β π΅ π πΈ = 8 4 β . Determine π β π· .

Q7:

What is π₯ ?

Q8:

Find π β π΄ πΆ π· and π β π΅ π΄ πΆ .

Q9:

Suppose that points π΄ and π΅ on a circle centre π make β π΄ π π΅ 1 9 times its reflex angle. What is the minor arc π΄ π΅ ?

Q10:

Given that π β π· π΄ π΅ = 8 2 β and π π΄ π΅ = 5 0 β , find π β π΄ π΅ πΆ .

Q11:

Given that measure arc π΄ πΆ = 8 7 the measure of arc π΅ πΆ , find π β π΄ .

Q12:

Find π π΄ πΆ .

Q13:

An arc has a measure of 1 3 0 β .

What is the measure of the central angle?

What is the measure of the inscribed angle?

What is the measure of the circumscribed angle?

Q14:

Given that π΄ π΅ is a diameter in circle π and π β π· π π΅ = ( 3 π₯ + 1 2 ) β , determine π π΄ πΆ .

Q15:

Q16:

Find the measure of the arc that represents 3 8 of the circumference of a circle.

Q17:

Given that π΄ π΅ is a diameter in circle M and π΄ πΆ π· π΅ = 3 2 1 1 9 , determine π π΄ πΆ π· .

Q18:

Given that π΄ π΅ is a diameter in circle M and π΄ πΆ π· π΅ = 9 1 4 , determine π π΄ πΆ π· .

Q19:

Given that π΄ π΅ is a diameter in circle M and π΄ πΆ π· π΅ = 5 1 4 , determine π π΄ πΆ π· .

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