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Arc Length and Central Angles

Arc Length and Central Angles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Walter Unob explains how to measure the arc or central angle of a circle. He introduces the concepts of arc and central angle, and describes their relationship. The video derives expressions for arc length in terms of radians and degrees, showing how to calculate one given the other. The tutorial concludes with a summary of the key points.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an arc in the context of a circle?

A segment of the circle's circumference

A line that divides the circle into two equal parts

A point on the circle's edge

A line segment from the center to the circumference

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the central angle in a circle?

The angle at the circumference

The angle formed by two chords

The angle formed by two radii

The angle between a tangent and a radius

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the circumference of a circle?

C = 2πr

C = πr²

C = πd

C = 2r

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees are there in a full circle?

360°

90°

270°

180°

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total angle in radians for a full circle?

π radians

2π radians

3π radians

4π radians

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the radians formula, what cancels out when relating arc length and central angle?

The angle

The arc length

The radius

The 2π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Arc length = radius / angle

Arc length = angle × 2π

Arc length = angle / radius

Arc length = radius × angle

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