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Circle Segment Area and Arc Length

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Circle Segment Area and Arc Length
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

5

9

8

6

Tags

CCSS.HSG.C.B.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the arc length.  Leave your answer in terms of π.

7/4π

7/2π

1/8π

45π

Tags

CCSS.HSG.C.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

9.2 sq. in.

10.5 sq. in.

31.4 sq. in.

38.2 sq. in.

Tags

CCSS.HSG.C.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

0.3 square units

15.7 square units

19.7 square units

50.3 square units

Tags

CCSS.HSG.C.B.5

5.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.B.5

6.

MATCH QUESTION

1 min • 1 pt

Media Image

Match the answers to the following problems.

Problem 2

Problem 4

Problem 3

Problem 1

Tags

CCSS.HSG.C.B.5

7.

MATCH QUESTION

1 min • 1 pt

Match the following

The distance along the arc

Media Image

Radian

Area of Sector

Degrees

Media Image

A "pie-slice" part of a circle

Arc Length

Theta

Media Image

Tags

CCSS.7.G.B.4

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