ExamView - 11.3 Sectors and Arcs · PDF fileID: A 1 11.3 Sectors and Arcs Quiz Answer Section...
11
Click here to load reader
Transcript of ExamView - 11.3 Sectors and Arcs · PDF fileID: A 1 11.3 Sectors and Arcs Quiz Answer Section...
Name: ________________________ Class: ___________________ Date: __________ ID: A
1
11.3 Sectors and Arcs Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. (1 point) Jenny’s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle
of 120°. What is the area of Jenny’s slice of cake? Give your answer in terms of π .
a. 300π cm2
b. 10π cm2
c. 150π cm2
d. 3600π cm2
____ 2. (1 point) Find the arc length of an arc with measure 130° in a circle with radius 2 in. Round to the nearest tenth.
a. 4.5 in
b. 2.3 in
c. 10.2 in
d. 0.5 in
BONUS
1. (2 points) Find the area of segment POM. Round to the nearest tenth.
Answer:___________________
ID: A
1
11.3 Sectors and Arcs Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: A
A = πr2 m°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for area of a sector
= π(30)2 120°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute the given values.
= 300π cm2 Simplify.
Feedback
A Correct!
B Use the formula for finding the area of a sector.
C Use the formula for finding the area of a sector.
D The area of a sector is equal to pi times radius squared times the measure of the arc
divided by 360 degrees.
PTS: 1 DIF: Average REF: 1cdc792e-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.2 Application LOC: MTH.C.12.12.02.010
TOP: 11-3 Sector Area and Arc Length KEY: circle | sector area
DOK: DOK 2
ID: A
2
2. ANS: A
L = 2πrm°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for arc length
= 2π(2)130°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute.
=13
9π in ≈ 4.5 in Simplify.
Feedback
A Correct!
B Use the formula for finding the distance along an arc.
C The arc length is equal to 2 times pi times the radius times the measure of the arc
divided by 360 degrees.
D Use the formula for finding the distance along an arc.
PTS: 1 DIF: Average REF: 1cdedb8a-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.4 Finding Arc Length LOC: MTH.C.12.11.02.006
TOP: 11-3 Sector Area and Arc Length KEY: arc length DOK: DOK 2
SHORT ANSWER
1. ANS:
10.3 cm2
Step 1 Find the area of sector POM
A = πr2 m°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for area of a sector
= π(6)2 90°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute 6 for r and 90 for m.
= 9π cm2 Simplify.
Step 2 Find the area of ∆POM .
A =1
2bh =
1
2(6)(6) OM = 6 cm and h = 6 cm.
A = 18 cm2 Simplify.
Step 3 Find the area of segment POM.
area of segment POM = area of sector POM – area of ∆POM
area of segment POM = 9π – 18 ≈ 10.3 cm2
PTS: 2 DIF: Average REF: 1cdca03e-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.3 Finding the Area of a Segment
LOC: MTH.C.12.12.02.004 | MTH.C.12.12.02.010 TOP: 11-3 Sector Area and Arc Length
KEY: circle | segment area DOK: DOK 2
Name: ________________________ Class: ___________________ Date: __________ ID: B
1
11.3 Sectors and Arcs Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. (1 point) Find the arc length of an arc with measure 130° in a circle with radius 2 in. Round to the nearest tenth.
a. 2.3 in
b. 10.2 in
c. 4.5 in
d. 0.5 in
____ 2. (1 point) Jenny’s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle
of 120°. What is the area of Jenny’s slice of cake? Give your answer in terms of π .
a. 300π cm2
b. 150π cm2
c. 10π cm2
d. 3600π cm2
BONUS
1. (2 points) Find the area of segment POM. Round to the nearest tenth.
Answer:___________________
ID: B
1
11.3 Sectors and Arcs Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: C
L = 2πrm°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for arc length
= 2π(2)130°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute.
=13
9π in ≈ 4.5 in Simplify.
Feedback
A Use the formula for finding the distance along an arc.
B The arc length is equal to 2 times pi times the radius times the measure of the arc
divided by 360 degrees.
C Correct!
D Use the formula for finding the distance along an arc.
PTS: 1 DIF: Average REF: 1cdedb8a-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.4 Finding Arc Length LOC: MTH.C.12.11.02.006
TOP: 11-3 Sector Area and Arc Length KEY: arc length DOK: DOK 2
ID: B
2
2. ANS: A
A = πr2 m°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for area of a sector
= π(30)2 120°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute the given values.
= 300π cm2 Simplify.
Feedback
A Correct!
B Use the formula for finding the area of a sector.
C Use the formula for finding the area of a sector.
D The area of a sector is equal to pi times radius squared times the measure of the arc
divided by 360 degrees.
PTS: 1 DIF: Average REF: 1cdc792e-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.2 Application LOC: MTH.C.12.12.02.010
TOP: 11-3 Sector Area and Arc Length KEY: circle | sector area
DOK: DOK 2
ID: B
3
SHORT ANSWER
1. ANS:
10.3 cm2
Step 1 Find the area of sector POM
A = πr2 m°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for area of a sector
= π(6)2 90°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute 6 for r and 90 for m.
= 9π cm2 Simplify.
Step 2 Find the area of ∆POM .
A =1
2bh =
1
2(6)(6) OM = 6 cm and h = 6 cm.
A = 18 cm2 Simplify.
Step 3 Find the area of segment POM.
area of segment POM = area of sector POM – area of ∆POM
area of segment POM = 9π – 18 ≈ 10.3 cm2
PTS: 2 DIF: Average REF: 1cdca03e-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.3 Finding the Area of a Segment
LOC: MTH.C.12.12.02.004 | MTH.C.12.12.02.010 TOP: 11-3 Sector Area and Arc Length
KEY: circle | segment area DOK: DOK 2
Name: ________________________ Class: ___________________ Date: __________ ID: C
1
11.3 Sectors and Arcs Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. (1 point) Find the arc length of an arc with measure 130° in a circle with radius 2 in. Round to the nearest tenth.
a. 4.5 in
b. 2.3 in
c. 10.2 in
d. 0.5 in
____ 2. (1 point) Jenny’s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle
of 120°. What is the area of Jenny’s slice of cake? Give your answer in terms of π .
a. 10π cm2
b. 150π cm2
c. 300π cm2
d. 3600π cm2
BONUS
1. (2 points) Find the area of segment POM. Round to the nearest tenth.
Answer:___________________
ID: C
1
11.3 Sectors and Arcs Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: A
L = 2πrm°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for arc length
= 2π(2)130°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute.
=13
9π in ≈ 4.5 in Simplify.
Feedback
A Correct!
B Use the formula for finding the distance along an arc.
C The arc length is equal to 2 times pi times the radius times the measure of the arc
divided by 360 degrees.
D Use the formula for finding the distance along an arc.
PTS: 1 DIF: Average REF: 1cdedb8a-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.4 Finding Arc Length LOC: MTH.C.12.11.02.006
TOP: 11-3 Sector Area and Arc Length KEY: arc length DOK: DOK 2
ID: C
2
2. ANS: C
A = πr2 m°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for area of a sector
= π(30)2 120°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute the given values.
= 300π cm2 Simplify.
Feedback
A Use the formula for finding the area of a sector.
B Use the formula for finding the area of a sector.
C Correct!
D The area of a sector is equal to pi times radius squared times the measure of the arc
divided by 360 degrees.
PTS: 1 DIF: Average REF: 1cdc792e-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.2 Application LOC: MTH.C.12.12.02.010
TOP: 11-3 Sector Area and Arc Length KEY: circle | sector area
DOK: DOK 2
ID: C
3
SHORT ANSWER
1. ANS:
10.3 cm2
Step 1 Find the area of sector POM
A = πr2 m°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Formula for area of a sector
= π(6)2 90°
360°
Ê
Ë
ÁÁÁˆ
¯
˜̃˜ Substitute 6 for r and 90 for m.
= 9π cm2 Simplify.
Step 2 Find the area of ∆POM .
A =1
2bh =
1
2(6)(6) OM = 6 cm and h = 6 cm.
A = 18 cm2 Simplify.
Step 3 Find the area of segment POM.
area of segment POM = area of sector POM – area of ∆POM
area of segment POM = 9π – 18 ≈ 10.3 cm2
PTS: 2 DIF: Average REF: 1cdca03e-4683-11df-9c7d-001185f0d2ea
OBJ: 11-3.3 Finding the Area of a Segment
LOC: MTH.C.12.12.02.004 | MTH.C.12.12.02.010 TOP: 11-3 Sector Area and Arc Length
KEY: circle | segment area DOK: DOK 2
