Lesson Worksheet: Central Angles and Arcs Mathematics • 11th Grade

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In this worksheet, we will practice identifying central angles, using their measures to find measures of arcs, identifying adjacent arcs, finding arc lengths, and identifying congruent arcs in congruent circles.

Q1:

Which of the following arcs are adjacent in the given circle?

A and
B and
C and
D and

Q2:

Find .

Q3:

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

Q4:

Consider the given circle. Find the measure of .

Q5:

The pictured circle has a diameter of length 4 cm. Determine, to the nearest hundredth, the length of .

Q6:

Given that is a diameter in a circle of center and , determine .

Q7:

Consider a circle with two arcs, and , that have equal measures. has a length of 5 cm. What is the length of ?

Q8:

Consider circle with two chords of equal length, and . If has a length of 5 cm. What is the length of ?

Q9:

Find the value of , given that .

Q10:

Given that is a diameter in circle and , determine .

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