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Grade 12 Mathematics Quiz: Sector Area and Arc Length

Authored by Cindy Chapman

Mathematics

12th Grade

CCSS covered

Used 1+ times

Grade 12 Mathematics Quiz: Sector Area and Arc Length
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSG.C.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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