AnswersCR CCSS Math 2 S2 M2960OXArea of a Circle and a Sector

Area of a Circle and a Sector Answers

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Which statements are true regarding the area of circles and sectors? Check all that apply.The area of a circle depends on the length of the radius.The area of a sector depends on the ratio of the central angle to the entire circle.The area of a sector depends on pi.The area of the entire circle can be used to find the area of a sector.The area of a sector can be used to find the area of a circle.

A
The area of a circle depends on the length of the radius.
B
The area of a sector depends on the ratio of the central angle to the entire circle.
C
The area of a sector depends on pi.
D
The area of the entire circle can be used to find the area of a sector.
E
The area of a sector can be used to find the area of a circle.
3

121✔ 151229380

A
121
B
✔ 151
C
229
D
380
117726

What would make the estimation of the circle’s area more precise?

Answers:
What is the approximate circumference of the circle?:18.8 units
What is the height of the parallelogram?:3 units
What would be the approximate length of the parallelogram if the base were completely straight?:9.4 units
Selection 4:breaking the circle into more sectors
Selection 5:28.3 square units
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✔ 3 units6 units9 units12 units

A
✔ 3 units
B
6 units
C
9 units
D
12 units
117728

3 units3.4 units✔ 9.4 units19 units

A
3 units
B
3.4 units
C
✔ 9.4 units
D
19 units
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✔ breaking the circle into more sectorsbreaking the circle into fewer sectorsincreasing the length of the radiusdecreasing the length of the radius

A
✔ breaking the circle into more sectors
B
breaking the circle into fewer sectors
C
increasing the length of the radius
D
decreasing the length of the radius
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9.4 square units18.8 square units✔ 28.3 square units37.7 square units

A
9.4 square units
B
18.8 square units
C
✔ 28.3 square units
D
37.7 square units
117734

1928 57 ✔ 113

A
19
B
28
C
57
D
✔ 113
117735

5 7 ✔ 2857

A
5
B
7
C
✔ 28
D
57
117736

1216✔ 2236

A
12
B
16
C
✔ 22
D
36
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Which statement is true regarding the two shaded sectors of circle O? Explain.

A
The area of sector AOB is greater than the area of sector DOC because the central angle measures are equal.
B
The area of sector DOC is greater than the area of sector AOB because the radii are equal.
C
The area of sector AOB is equal to the area of sector DOC because the central angle measures are equal.
D
The area of sector AOB is equal to the area of sector DOC because the radii are equal.
117741

If the radius is doubled, what is the effect on the area of sector XYZ?

A
The sector area will be times greater.
Option A
B
The sector area will be 2 times greater.
Option B
C
The sector area will be times greater.
Option C
D
The sector area will be 4 times greater.
Option D
117742

1122✔ 121217

A
11
B
22
C
✔ 121
D
217
117744

Which statements are true? Check all that apply.

A
The central angle measure created by the shaded region is 40°.
B
The central angle measure created by the shaded region is 20°.
C
The ratio of the measure of ∠LOM to the measure of the whole circle is .
Option C
D
Circle O can be divided into a total of 9 sectors equal in area to sector LOM.
E
Circle O can be divided into a total of 10 sectors equal in area to sector LOM.
117745

11✔ 143217360

A
11
B
✔ 143
C
217
D
360

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