Radians, Arcs, Sectors, Segments

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

• 240 cm²

• 80 cm²

• 120 cm²

• 180 cm²

Tags

CCSS.HSG.C.B.5

The diameter of a circle is 10 centimeters. A central angle of the circle intercepts an arc of 20 centimeters. What is the radian measure of the angle?

• 2

• 4

• 1

• 5

Tags

CCSS.HSF.TF.A.1

Tags

CCSS.HSF.TF.A.1

What formula is this?

• Arc length when θ is in radians

• Arc length when θ is in degrees

• Sector Area when θ is in radians

• Sector Area when θ is in degrees

Tags

CCSS.HSG.C.B.5

What formula is this?

• Arc length when θ is in radians

• Arc length when θ is in degrees

• Sector Area when θ is in radians

• Sector Area when θ is in degrees

Tags

CCSS.HSG.C.B.5

What is the green area called?

• sector

• segment

• arc

• section

What is the area of the shaded segment?

• 32π/3 - 2√3

• 32π/3 - 16√3

• 16π/3 - 16√3

• 32π/3 + 16√3

Tags

CCSS.HSG.C.B.5

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle

• arc length of a circle

• sector of a circle

• segment of a circle

What is the area of the shaded region? Leave your answer as an exact value.

• 25π - 50

• 25π - 100

• 5π - 50

• 5π - 100

Tags

CCSS.HSG.C.B.5

What is the value of x?

• 75

• 90

• 150

• 180

Tags

CCSS.HSG.C.A.2