AnswersCR CCSS Math 2 S2 M2960OXSecants, Tangents, and Angles (Sec 10-5)

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.
2
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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.
7

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
8

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
9

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
10

✔ 3 units6 units9 units12 units

A
✔ 3 units
B
6 units
C
9 units
D
12 units
11

3 units3.4 units✔ 9.4 units19 units

A
3 units
B
3.4 units
C
✔ 9.4 units
D
19 units
12

✔ 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
13

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
14

1122✔ 121217

A
11
B
22
C
✔ 121
D
217
15

11143X 217360

A
11
B
143
C
X 217
D
360
16

121151X 229380

A
121
B
151
C
X 229
D
380
18

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.
19

1928 57 ✔ 113

A
19
B
28
C
57
D
✔ 113
20

5 7 ✔ 2857

A
5
B
7
C
✔ 28
D
57

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