Arc Length Angle in Radians

• 12π cm

• 27π cm

• 12 cm

• 27 cm

Tags

CCSS.HSG.C.B.5

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

• 3 radian

• 2 radian

• 4 radian

• 2π radian

Tags

CCSS.HSF.TF.A.1

A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

• 7.78 inches

• 8.21 inches

• 157.5 inches

• 7 inches

Tags

CCSS.HSG.C.B.5

A circle has radius 12 inches. A central angle intercepts an arc of length 36 inches. What is the radian measure of the central angle?

• 3 radian

• 2 radian

• 6 radian

• 9 radian

Tags

CCSS.HSF.TF.A.1

What is the formula for arc length (when you are given an angle in radians)?

Tags

CCSS.HSG.C.B.5

Here we have a circle with radius 1 centered at the point O. The arc length of arc AB is π/3. What is the measure of angle ACB?

• π/6 radians

• π/3 radians

• π/2 radians

• π/8 radians

Tags

CCSS.HSG.C.B.5

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

Tags

CCSS.HSG.C.B.5

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

Tags

CCSS.HSG.C.B.5

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

Tags

CCSS.HSG.C.B.5

The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the angle?

Mathematical Equivalence

ON

Tags

CCSS.HSF.TF.A.1