Homework Answers Section 10 2 Notes Measuring Angles

Section 10. 2 Notes: Measuring Angles and Arcs Learning Targets I can identify central

Vocabulary! Central Angle An angle with a vertex on the center of the circle.

Vocabulary! Arc Minor Arc Major Arc Semicircle A portion of a circle defined by

Example 2: a) WC is a radius of circle C. Identify arc XZY as

Example 2: a) WC is a radius of circle C. Identify arc WZX as

Example 2: a) WC is a radius of circle C. Identify arc XW as

You Try! Example 3: On the given circle, identify a major arc, minor arc

Example 4: a) BICYCLES Refer to the circle graph. Find m. KL.

Example 4: b) BICYCLES Refer to the circle graph. Find m. NJL.

Vocabulary! Arcs in a circle that have exactly one point in common. Adjacent Arcs

Example 5: b) Find m. BCD the in circle F.

Vocabulary! Arc Length The distance between the endpoints along an arc measured in linear

Example 6: a) Find the length of DA. Round to the nearest hundredth.

You Try! 2. The diameter is 24 cm. Find the length of arc CD.

Example 7: a. A circle has an arc whose measure is 80° and whose

Example 7: b. A circle has a circumference whose length is. Find the length

Example 7: c. Find the measure of the central angle of an arc if

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Homework Answers

Section 10. 2 Notes: Measuring Angles and Arcs Learning Targets I can identify central angles and their measurements. I can identify arcs and their labels.

Vocabulary! Central Angle An angle with a vertex on the center of the circle. Its sides contain two radii of the circle. ABC is a central angle of Sum of Central Angles

Example 1: a) Find the value of x.

Example 1: b) Find the value of x.

Vocabulary! Arc Minor Arc Major Arc Semicircle A portion of a circle defined by two endpoints. A central angle separates the circle into two arcs with measures related to the measure of the central angle.

Example 2: a) WC is a radius of circle C. Identify arc XZY as a major arc, minor arc, or semicircle. Then find its measure.

Example 2: a) WC is a radius of circle C. Identify arc WZX as a major arc, minor arc, or semicircle. Then find its measure.

Example 2: a) WC is a radius of circle C. Identify arc XW as a major arc, minor arc, or semicircle. Then find its measure.

You Try! Example 3: On the given circle, identify a major arc, minor arc and a semicircle.

Vocabulary! Theorem 10. 1

Example 4: a) BICYCLES Refer to the circle graph. Find m. KL.

Example 4: b) BICYCLES Refer to the circle graph. Find m. NJL.

Vocabulary! Arcs in a circle that have exactly one point in common. Adjacent Arcs are adjacent arcs. Arc Addition Postulate

Example 5: a) Find m. LHI in circle M.

Example 5: b) Find m. BCD the in circle F.

Vocabulary! Arc Length The distance between the endpoints along an arc measured in linear units.

Example 6: a) Find the length of DA. Round to the nearest hundredth.