Arc Length and Area of a Sector Sheet 1

[Pages:6]Name :

Arc Length and Area of a Sector

Score : Sheet 1

Example: J

Arc length of a sector (s) =

x x r 180

4 cm K 150

s=? Area=?

=150 x 3.14 x 4 180

= 10.47 cm

Area =

s x r 2

=

10.47 2

x

4

= 20.94 cm

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use = 3.14 )

1)

2)

3)

E

270 12 in N

M

Length of the arc MN = Area of a sector =

4)

65 P

O

Length of the arc OP = Area of a sector =

5)

G

H

17 cm

9 m F

Length of the arc EF = Area of a sector =

6)

11 m 130

5m 240

40

20 ft

J

160

K

14 cm

85

B

A

Length of the arc JK = Area of a sector =

7)

C

Length of the arc GH = Area of a sector =

8)

190

P

19 ft Q

Length of the arc AB = Area of a sector =

9)

S

T 50

6 in

D

Length of the arc CD = Area of a sector =

Length of the arc PQ = Area of a sector =

Printable Math Worksheets @

Length of the arc ST = Area of a sector =

Name :

Answer Key

Arc Length and Area of a Sector

Score : Sheet 1

Example: J

Arc length of a sector (s) =

x x r 180

4 cm K 150

s=? Area=?

=150 x 3.14 x 4 180

= 10.47 cm

Area =

s x r 2

=

10.47 2

x

4

= 20.94 cm

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use = 3.14 )

1)

2)

3)

E

270 12 in N

M

Length of the arc MN = 56.52 in Area of a sector = 339.12 in

4)

65

P O

Length of the arc OP = 19.28 cm Area of a sector = 163.85 cm

5)

G

H

17 cm

9 m F

Length of the arc EF = 37.68 m Area of a sector = 169.56 m

6)

11 m 130

5m 240

40

20 ft

J

160

K

14 cm

85

B

A

Length of the arc JK = 55.82 ft Area of a sector = 558.22 ft

7)

C

Length of the arc GH = 3.49 m Area of a sector = 8.72 m

8)

190

P

19 ft Q

Length of the arc AB = 20.76 cm Area of a sector = 145.31 cm

9)

S

T 50

6 in

D

Length of the arc CD = 24.95 m Area of a sector = 137.20 m

Length of the arc PQ = 62.97 ft Area of a sector = 598.26 ft

Length of the arc ST = 5.23 in Area of a sector = 15.7 in

Printable Math Worksheets @

Name :

Arc Length and Area of a Sector

Score : Sheet 2

Example: E

Arc length of a sector (s) =

x x r 180

Area =

s x r 2

6 m

F s=? Area=?

=240 x 3.14 x 6 180

= 25.12 m

=

25.12 2

x

6

= 75.36 m

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use = 3.14 )

1)

2)

3)

X

K

240 285

45

G

H

Length of the arc GH = Area of a sector =

4)

P 145 19 ft Q

17 ft

9 in L

15 cm Y

270

Length of the arc KL = Area of a sector =

5)

6 cm K 150 J

Length of the arc XY = Area of a sector =

6)

G

H

210

16 in

Length of the arc PQ = Area of a sector =

7)

A

13 m B

210

Length of the arc AB = Area of a sector =

Length of the arc JK = Area of a sector =

8)

7 cm Y 90

Z

Length of the arc YZ = Area of a sector =

Printable Math Worksheets @

Length of the arc GH = Area of a sector =

9)

O

240

20 m

P

Length of the arc OP = Area of a sector =

Name :

Answer Key

Arc Length and Area of a Sector

Score : Sheet 2

Example: E

Arc length of a sector (s) =

x x r 180

Area =

s x r 2

6 m

F s=? Area=?

=240 x 3.14 x 6 180

= 25.12 m

=

25.12 2

x

6

= 75.36 m

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use = 3.14 )

1)

2)

3)

X

K

240 285

9 in L

15 cm Y

270

17 ft

45

G

H

Length of the arc GH = 13.35 ft Area of a sector = 113.43 ft

4)

P 145 19 ft Q

Length of the arc KL = 44.75 in Area of a sector = 201.35 in

5)

6 cm K 150 J

210

Length of the arc XY = 70.65 cm Area of a sector = 529.88 cm

6)

G

H

16 in

Length of the arc PQ = 48.06 ft Area of a sector = 456.56 ft

7)

A

Length of the arc JK = 15.7 cm Area of a sector = 47.1 cm

8)

Length of the arc GH = 58.61 in Area of a sector = 468.91 in

9)

O

240

13 m B

210

7 cm Y 90

P Z

20 m

Length of the arc AB = 47.62 m Area of a sector = 309.55 m

Length of the arc YZ = 10.99 cm Area of a sector = 38.47 cm

Length of the arc OP = 83.73 m Area of a sector = 837.33 m

Printable Math Worksheets @

Name :

Arc Length and Area of a Sector

Score : Sheet 3

Example:

Arc length of a sector (s) =

x x r 180

10 cm

85

B

= 85 x 3.14 x 10 180

A s=? Area=?

= 14.83 cm

Area =

s x r 2

=14.832x 10

= 74.15 cm

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use = 3.14 )

1)

2)

3)

O 135

P 18 m

200

A

10 in

B

4 cm 20

E

F

Length of the arc OP = Area of a sector =

4)

Y

165

16 cm Z

Length of the arc AB = Area of a sector =

5)

C

8m

150

Length of the arc YZ = Area of a sector =

7)

D

Length of the arc CD = Area of a sector =

8)

S

T

19 ft

11

ft 65

R

S

Length of the arc RS = Area of a sector =

310

Length of the arc ST = Area of a sector =

Printable Math Worksheets @

Length of the arc EF = Area of a sector =

6)

C 7 in 290 D

Length of the arc CD = Area of a sector =

9)

Y

90 X

12 m

Length of the arc XY = Area of a sector =

Name :

Answer Key

Arc Length and Area of a Sector

Score : Sheet 3

Example:

Arc length of a sector (s) =

x x r 180

10 cm

85

B

= 85 x 3.14 x 10 180

A s=? Area=?

= 14.83 cm

Area =

s x r 2

=14.832x 10

= 74.15 cm

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. ( use = 3.14 )

1)

2)

3)

O 135

P 18 m

200

A

10 in

B

4 cm 20

E

F

Length of the arc OP = 42.39 m Area of a sector = 381.51 m

4)

Length of the arc AB = 34.89 in Area of a sector = 174.44 in

5)

C

Length of the arc EF = 1.40 cm Area of a sector = 2.79 cm

6)

8m

Y

165

16 cm Z

150

Length of the arc YZ = 46.05 cm Area of a sector = 368.43 cm

D

Length of the arc CD = 20.93 m Area of a sector = 83.73 m

7)

8)

S

T

C 7 in 290

D

Length of the arc CD = 35.41 in Area of a sector = 123.94 in

9)

Y

19 ft

11

ft 65

R

S

Length of the arc RS = 12.47 ft Area of a sector = 68.60 ft

90

310

X 12 m

Length of the arc ST = 102.75 ft Area of a sector = 976.10 ft

Length of the arc XY = 18.84 m Area of a sector = 113.04 m

Printable Math Worksheets @

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