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area of sectors and segments worksheet and key

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Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 1
Do the following:
1.
Find the area of shaded
sector shown in fig. The
radius of the circle is 45
units and the length of the
arc measures 50 units
45
O
2.
40 O
Find the area of a
segment of a circle if
the central angle of
the segment is 165º
and the radius is 40
.
3.
O
14
There are 3 equal
segments in semi circle O.
If the radius of circle is 14.
What is the area of each
segment?
4.
50
5.
80
Find the area of the
shaded sector of circle O.
The radius is 80inches and
the central angle is 112º.
O
6.
Find the area of a
segment of a circle if
the central angle of
the segment is 50º
and the radius is 15.
15
7.
There are 3 equal
segments in semi circle O.
If the radius of circle is 45.
What is the area of each
segment?
O
O
Find the area of
shaded sector shown
in fig. The radius of
the circle is 50 units
and the length of the
arc measures 100
units
O
8.
70
O
Find the area of the
shaded sector of circle
O. The radius is 70
inches and the central
angle is 140º.
45
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 1- ANSWERS
1.
1125
2.
2096.77
3.
17.75
4.
1363.37
5.
6255.26
6.
11.99
7.
365.91
8.
5986.47
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 2
Do the following:
1.
Find the area of shaded
sector shown in fig. The
radius of the circle is 60
units and the length of the
arc measures 150 units
60
2.
70 O
Find the area of a
segment of a circle if
the central angle of
the segment is 105º
and the radius is 70
.
3.
O
50
5.
80
O
There are 3 equal
segments in semi circle O.
If the radius of circle is 50.
What is the area of each
segment?
4.
Find the area of the
shaded sector of circle O.
The radius is 80 inches and
the central angle is 106º.
6.
30
O
Find the area of a
segment of a circle if
the central angle of
the segment is 115º
and the radius is 30.
30
7.
There are 3 equal
segments in semi circle O.
If the radius of circle is 65.
What is the area of each
segment?
O
Find the area of
shaded sector shown
in fig. The radius of
the circle is 30 units
and the length of the
arc measures 60 units
O
8.
80
O
Find the area of the
shaded sector of circle
O. The radius is 80
inches and the central
angle is 160º.
65
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 2 - ANSWERS
1.
4500
2.
2123.34
3.
226.46
4.
900
5.
5920.16
6.
495.37
7.
382.73
8.
8936.09
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 3
Do the following:
1.
Find the area of shaded
sector shown in fig. The
radius of the circle is 50
units and the length of the
arc measures 100 units
50
2.
20 O
Find the area of a
segment of a circle if
the central angle of
the segment is 130º
and the radius is 20
.
3.
O
90
There are 3 equal
segments in semi circle O.
If the radius of circle is 90.
What is the area of each
segment?
4.
50
O
5.
60
O
7.
O
Find the area of the
shaded sector of circle O.
The radius is 60 inches and
the central angle is 130º.
6.
There are 3 equal
segments in semi circle O.
If the radius of circle is 40.
What is the area of each
segment?
8.
70
10
O
O
Find the area of
shaded sector shown
in fig. The radius of
the circle is 50 units
and the length of the
arc measures 70 units
Find the area of a
segment of a circle if
the central angle of
the segment is 185º
and the radius is 70.
Find the area of the
shaded sector of circle
O. The radius is 10
inches and the central
angle is 135º.
40
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 3 - ANSWERS
1.
2500
2.
300.576
3.
733.74
4.
1750
5.
4084.07
6.
8124.24
7.
144.94
8.
117.809
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 4
Do the following:
Find the area of shaded
sector shown in fig. The
radius of the circle is 50
units and the length of the
arc measures 125 units
1.
50
2.
150
O
Find the area of a
segment of a circle if
the central angle of
the segment is 120º
and the radius is 150
.
3.
O
50
5.
O 65
There are 3 equal
segments in semi circle O.
If the radius of circle is 50.
What is the area of each
segment?
Find the area of the
shaded sector of circle O.
The radius is 65 inches and
the central angle is 115º.
There are 3 equal
segments in semi circle O.
If the radius of circle is 45.
What is the area of each
segment?
7.
O
4.
6.
30
32
O
O
8.
80
O
Find the area of
shaded sector shown
in fig. The radius of
the circle is 30 units
and the length of the
arc measures 200
units
Find the area of a
segment of a circle if
the central angle of
the segment is 145º
and the radius is 32.
Find the area of the
shaded sector of circle
O. The radius is 80
inches and the central
angle is 155º.
45
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 4 - ANSWERS
1.
3125
2.
13819
3.
226.47
4.
1570.91
5.
4240.59
6.
1002.06
7.
183.43
8.
8656.83
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 5
Do the following:
Find the area of shaded
sector shown in fig. The
radius of the circle is 40
units and the length of the
arc measures 110 units.
1.
40
3.
O
30
5.
O 65
There are 3 equal
segments in semi circle O.
If the radius of circle is 30.
What is the area of each
segment?
Find the area of the
shaded sector of circle O.
The radius is 65 inches and
the central angle is 135º.
There are 3 equal
segments in semi circle O.
If the radius of circle is 15.
What is the area of each
segment?
7.
O
2.
50
O
4.
60 O
6.
80
O
8.
40
O
Find the area of a
segment of a circle if
the central angle of
the segment is 140º
and the radius is 50.
Find the area of
shaded sector shown
in fig. The radius of
the circle is 60 units
and the length of the
arc measures 216
units
Find the area of a
segment of a circle if
the central angle of
the segment is 135º
and the radius is 80.
Find the area of the
shaded sector of circle
O. The radius is 40
inches and the central
angle is 195º.
15
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
Name: ________________________
Date ____________
Topic : Area of Sector and Segment - Worksheet 5 - ANSWERS
1.
2200
2.
2250.84
3.
226.47
4.
-4829.7
5.
4977.46
6.
5277.08
7.
183.43
8.
2722.71
Tons of Free Math Worksheets at: © www.mathworksheetsland.com
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