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Worksheetsarc length and sector area
Total questions: 8
Worksheet time: 16mins
Name
Class
Date
1.
If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?
a)
1.6in
b)
3in
c)
6.8in
d)
2.5in
2.
Find the area of the shaded sector of the circle.
a)
b)
c)
d)
3.
An arc is a smaller piece of the...
a)
Chord
b)
Center
c)
Circumference
d)
Radius
4.
What is the green area called?
a)
sector
b)
segment
c)
arc
d)
section
5.
What is the ϴ called?
a)
sector
b)
segment
c)
arc
d)
central angle
6.
Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.
a)
0.3 square units
b)
15.7 square units
c)
19.7 square units
d)
50.3 square units
7.
When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
a)
40
b)
35
c)
55
d)
69
8.
What is the area of the shaded region? Round to the nearest hundredth. (Hint: Area of a triangle is 1/2*b*h)
a)
78.53
b)
314.16
c)
28.54
d)
58.54
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