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  5. Exploring Arc Length And Sector Area
Exploring Arc Length and Sector Area

Exploring Arc Length and Sector Area

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSG.C.B.5, 7.G.B.4, HSF.TF.A.1

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSG.C.B.5
,
CCSS.7.G.B.4
,
CCSS.HSF.TF.A.1
The video tutorial covers finding arc length and sector area using radians. It begins with an introduction to the concepts and proceeds with examples of calculating arc length and determining radius from given arc lengths. The tutorial also addresses handling complex angles and converting them into radians. Finally, it demonstrates calculating sector area using different angles, emphasizing the use of radians throughout.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert 120 degrees to radians?

2π/3

π/2

π/6

π/3

Tags

CCSS.HSG.C.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the arc length when the radius is 12 and the angle is 60 degrees?

8π

4π

2π

6π

Tags

CCSS.7.G.B.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the diameter of a circle is 24, what is the radius?

14

12

10

8

Tags

CCSS.HSG.C.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given an arc length of 5π and an angle of 30 degrees, what is the radius?

15

20

25

30

Tags

CCSS.HSF.TF.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For an angle of 70 degrees, what is the radian measure?

7π/18

π/4

π/6

2π/3

Tags

CCSS.HSG.C.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given an arc length of 5π and an angle of 30 degrees, how do you set up the equation to find the radius?

π/2 * r = 5π

2π/3 * r = 5π

π/3 * r = 5π

π/6 * r = 5π

Tags

CCSS.HSG.C.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sector area when the radius is 16 and the angle is 90 degrees?

48π

128π

32π

64π

Tags

CCSS.HSG.C.B.5

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