Grade 12 Mathematics Quiz: Sector Area and Arc Length

What is the formula to calculate the area of a sector using radians?

• (1/2) * r * θ

• (r^2) * θ

• 2 * r * θ

• (1/2) * r^2 * θ

Tags

CCSS.HSG.C.B.5

If the radius of a circle is 5 units and the central angle is π/3 radians, what is the area of the sector?

• 25π/6

• 5π/6

• 10π/3

• 15π/4

Tags

CCSS.HSG.C.B.5

A circle has a radius of 8 units and a central angle of 2π/3 radians. Calculate the area of the sector.

• 16π/3

• 12π/3

• 4π/3

• 64π/3

Tags

CCSS.HSG.C.B.5

Find the area of the sector if the radius is 10 units and the central angle is 3π/4 radians.

• 8.7266 square units

• 15.707 square units

• 25.1327 square units

• 117.8097 square units

Tags

CCSS.HSG.C.B.5

What is the formula to find the area of a sector using the radius and central angle?

• r * θ

• (1/2) * r^2 * θ

• 2 * r * θ

• r + θ

Tags

CCSS.HSG.C.B.5

If the radius of a sector is 6 units and the central angle is π/4 radians, what is the area of the sector?

• 9π/2

• 36

• 12

• 3π

Tags

CCSS.HSG.C.B.5

A circle has a radius of 12 units and a central angle of 3π/8 radians. Calculate the area of the sector.

• 9π square units

• 36π square units

• 27π square units

• 18π square units

Tags

CCSS.HSG.C.B.5

Find the area of the sector if the radius is 15 units and the central angle is 5π/6 radians.

• 30π

• 93.75π

• 90π

• 75π

Tags

CCSS.HSG.C.B.5

What is the formula to calculate the arc length of a circle?

• L = r^2/2

• L = rθ

• L = πr^2

• L = 2πr

Tags

CCSS.HSG.C.B.5

If the radius of a circle is 4 units and the central angle is π/6 radians, what is the arc length?

• π/3 units

• 8 units

• 2π/3 units

• 4π units

Tags

CCSS.HSG.C.B.5