Problem preview

F-TF.1 Warmup M3-033-A02-V04

Understand radian measure as arc length on the unit circle.

Find a central angle in radians from arc length and radius

Problem

A circle has radius \(9~\text{cm}\) and an arc length of \(6~\text{cm}\). What is the measure of the central angle in radians?

Neutral formula card showing theta equals arc length divided by radius, without values or an evaluated angle.

Answer choices

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Preview only

A

2/3 radians

B

15 radians

C

1/3 radians

D

3/2 radians

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Curriculum context

Course: Math III
Standard: F-TF.1
Category: Functions
Domain: Trigonometric Functions
Objective: Understand radian measure as arc length on the unit circle.
Problem type: Find a central angle in radians from arc length and radius