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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:
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 .
Q3:
Q4:
Suppose that . Determine .
Q5:
Find the measure of the arc that represents 1 6 of the circumference of a circle.
Q6:
Find the measure of the arc that represents 3 8 of the circumference of a circle.
Q7:
What is π₯ ?
Q8:
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?
Q9:
Find π β π΄ πΆ π· and π β π΅ π΄ πΆ .
Q10:
Given that π΄ π΅ is a diameter in circle M and π΄ πΆ π· π΅ = 8 5 6 7 , determine π π΄ πΆ π· .
Q11:
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· .
Q12:
Given that π΄ π΅ is a diameter in circle M and π΄ πΆ π· π΅ = 9 1 4 , determine π π΄ πΆ π· .
Q13:
Given that π΄ π΅ is a diameter in circle M and π΄ πΆ π· π΅ = 5 1 4 , determine π π΄ πΆ π· .
Q14:
An arc measures 5 3 1 2 0 of the circumference of a circle. What angle does the arc subtend at the center?
Q15:
Which of these is equal to the measure of an arc?
Q16:
Suppose that points π΄ and π΅ on a circle center π make β π΄ π π΅ 1 9 times its reflex angle. What is the minor arc π΄ π΅ ?
Q17:
Given that π β π· π΄ π΅ = 8 2 β and π π΄ π΅ = 5 0 β , find π β π΄ π΅ πΆ .
Q18:
Given that measure arc π΄ πΆ = 8 7 the measure of arc π΅ πΆ , find π β π΄ .
Q19:
Find π π΄ πΆ .
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