On a unit circle, the arc length (distance traveled) and radian measure will be the same because the radius is

Radians Arc Length Quiz

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Math

Trigonometry

Radians And Arc Length

Radians Arc Length

Authored by Barbara White

Mathematics

9th - 12th Grade

CCSS covered

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11 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many radians are in one full rotation around a circle?

360 degrees

$2\pi\ radians$

$\pi$ radians

^{2 radians}

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$rad\theta=$

$\frac{arc\ length}{radius}$

$2\pi r$

$\pi r^2$

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the perimeter around a circle (length)?

$2\pi r$

$\pi r^2$

$a^2+b^2=c^2$

Tags

CCSS.7.G.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 6 inches. If a point has rotated 1/4 of a rotation, how far has the point traveled? (Do not erase your board after this problem)

$3\pi\ inches$

2π radian

$12\pi\ inches$

Tags

CCSS.HSG.C.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 6 inches. If a point has rotated 1/4 of a rotation, what angle has the point traveled? (Erase after)

$3\pi\ inches$

$\frac{\pi}{2}rad$

$12\pi\ rad$

$2\pi\ rad$

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 3 yards. If a point has rotated 2/3 of a rotation, how far has the point traveled? (Don't erase)

$6\pi\ yards$

$\frac{4\pi}{3}rad$

$2\pi\ rad$

$4\pi\ yards$

Tags

CCSS.HSG.C.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 3 yards. If a point has rotated 2/3 of a rotation, what angle has the point traveled? (Erase after)

$6\pi\ inches$

$\frac{4\pi}{3}rad$

$2\pi\ rad$

$4\pi\ rad$

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 1 cm. If a point has rotated 3 rotations, how far has the point traveled? (Don't erase)

$6\pi\ cm$

$3\pi\ cm$

$2\pi\ cm$

$6\pi\ rad$

Tags

CCSS.HSG.C.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 1 cm. If a point has rotated 3 rotations, what angle has the point traveled? (Erase)

$6\pi\ rad$

$3\pi\ rad$

$2\pi\ rad$

$1\pi\ rad$

Tags

CCSS.HSF.TF.A.1

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Radians Arc Length

How many radians are in one full rotation around a circle?

radθ=rad\theta=radθ=

How do you find the perimeter around a circle (length)?

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 6 inches. If a point has rotated 1/4 of a rotation, how far has the point traveled? (Do not erase your board after this problem)

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 6 inches. If a point has rotated 1/4 of a rotation, what angle has the point traveled? (Erase after)

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 3 yards. If a point has rotated 2/3 of a rotation, how far has the point traveled? (Don't erase)

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 3 yards. If a point has rotated 2/3 of a rotation, what angle has the point traveled? (Erase after)

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 1 cm. If a point has rotated 3 rotations, how far has the point traveled? (Don't erase)

A wheel spins in place in a counterclockwise direction. The radius of the wheel is 1 cm. If a point has rotated 3 rotations, what angle has the point traveled? (Erase)