Unit 6a Remediation - Understanding Radians

1 radian around the circle's outside is equivalent to what?

• The radius

• The diameter

• π

• 2π

How many radians fit around the outside of a circle?

• About 2

• A little more than 6

• About 3

• 2π

• π

A wheel has a radius of 1 foot. After the wheel has traveled a certain distance in the counterclockwise direction, the point has returned to its original position. How many feet could the wheel have traveled?

Select ALL that apply.

• π/2

• π

• 2π

• 5π

• 10π

How many radians are in 90 degrees?

• π/2

• π

• π/90

• π/4

• 2π

How many radians are in 270 degrees?

• π/2

• π

• 3π/2

• 3π/4

• 2π

A rotation takes P to Q. What could be the measure of the angle of rotation in radians?

Select ALL that apply.

• $\frac{2\pi}{3}$

• $\frac{\pi}{3}$

• $\frac{8\pi}{3}$

• $-\frac{4\pi}{3}$

• $-\frac{5\pi}{3}$

A rotation takes P to Q. What could be the measure of the angle of rotation in radians?

Select ALL that apply.

• $\frac{3\pi}{4}$

• $\frac{5\pi}{4}$

• $-\frac{3\pi}{4}$

• $\frac{13\pi}{4}$

• $\frac{11\pi}{4}$

A rotation takes P to Q. What could be the measure of the angle of rotation in radians?

Select ALL that apply.

• $-\frac{\pi}{6}$

• $\frac{\pi}{6}$

• $-\frac{11\pi}{6}$

• $\frac{13\pi}{6}$

• $\frac{17\pi}{6}$

What is the size of 1 radian?

• When the arc length is the same as the radius.

• pi

• 3.14

• 6.28

Approximately how many radians fit in a circle?

• About 360 radians

• About 3 radians

• About 6.28 radians

• 5