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Central Angles, Arc Measure, and Arc Length

Central Angles, Arc Measure, and Arc Length

Assessment

Flashcard

Mathematics

8th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii that intersect the circle.

2.

FLASHCARD QUESTION

Front

How is the measure of an arc determined?

Back

The measure of an arc is determined by the central angle that subtends it, measured in degrees.

3.

FLASHCARD QUESTION

Front

What is the formula for arc length?

Back

Arc Length = (θ/360) × 2πr, where θ is the central angle in degrees and r is the radius of the circle.

4.

FLASHCARD QUESTION

Front

If the radius of a circle is 10 cm and the central angle is 60 degrees, what is the arc length?

Back

Arc Length = (60/360) × 2π(10) = 10.47 cm.

5.

FLASHCARD QUESTION

Front

What is the relationship between the central angle and the arc length?

Back

The larger the central angle, the longer the arc length, assuming the radius remains constant.

6.

FLASHCARD QUESTION

Front

Define a minor arc.

Back

A minor arc is an arc that is smaller than a semicircle, subtended by a central angle less than 180 degrees.

7.

FLASHCARD QUESTION

Front

Define a major arc.

Back

A major arc is an arc that is larger than a semicircle, subtended by a central angle greater than 180 degrees.

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