Back to Tutor Intake Assessment: Understand radian measure

HSF.TF.A.1 Tutor Intake — Radian Measure and the Unit Circle

This short check helps your tutor understand where to start. Answer each question on your own. If you are not sure, give your best try — every response helps your tutor plan your sessions.

Grade 9·10 problems·~12 min·Common Core Math - HS Functions·group·hsf-tf-a-1

Work through problems with immediate feedback

Concepts

Which statement best defines a radian?

The angle subtended at the center of a circle by an arc equal in length to the radius

The angle equal to one-sixtieth of a full rotation

The ratio of the circumference to the diameter of a circle

An angle of exactly 57 degrees

A full rotation around a circle equals [blank-1] radians.
(Enter the exact value using pi notation, e.g., enter 2pi for $2\pi$ .)

blank-1:

Procedures

Convert 150 degrees to radians. Which expression is correct?

$\dfrac{5\pi}{6}$ radians

$\dfrac{5\pi}{3}$ radians

$150\pi$ radians

$\dfrac{\pi}{6}$ radians

Convert $\dfrac{3\pi}{4}$ radians to degrees. Enter the degree measure as a whole number.

Which of the following is a valid radian measure for an angle?

2 radians

Radian measures must always contain $\pi$ , so none of these is valid without $\pi$

Only fractions of $\pi$ are valid radian measures

Radian measures must be less than $\pi$

What is the radian measure of a 45-degree angle?
Enter your answer as a fraction of $\pi$ in the form shown (example: for $\dfrac{\pi}{3}$ , enter pi/3).

On the unit circle, which radian measure corresponds to 270 degrees?

$\dfrac{3\pi}{2}$

$\dfrac{2\pi}{3}$

$3\pi$

$\dfrac{\pi}{3}$

You're viewing 2 of 3 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account

0 of 7 answered

Answer all problems to submit.