Circles Item Bank from Geo Test Bank π

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Name: ________________________ Class: ___________________ Date: __________
ID: A
Circles Item Bank from Geo Test Bank
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find the circumference of the circle in terms ofπ.
____
a. 156π in.
b. 39π in.
c. 1521π in.
d. 78π in.
2. Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has
diameter 14 inches.
____
a. 42.1 in. 2
b. 10.5 in. 2
3. Name the minor arc and find its measure.
a.
arc ADB; 30°
b.
arc AB; 115°
c.
153.9 in. 2
d.
196 in. 2
c.
arc ADB; 245°
d.
arc AB; 245°
1
Name: ________________________
____
4. Find the area of the shaded portion of the figure. Each vertex of squareABCD is at the center of a circle. Leave
your answer in terms of π .
____
1
π
π
d. π
2
4
5. The circumference of a circle is 60π cm. Find the diameter, the radius, and the length of an arc of140°.
a. 60 cm; 30 cm; 23.3π cm
c. 120 cm; 30 cm; 160π cm
b. 60 cm; 120 cm; 11.7π cm
d. 30 cm; 60 cm; 11.7π cm
6. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until
the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and
found it to be 35 cm. To the nearest tenth, what is the area of the wheel?
a. 195.1 cm2
b. 97.5 cm2
c. 27.5 cm2
d. 390.1 cm2
a.
____
ID: A
4−π
b.
4−
c.
4−
Find the area of the circle. Leave your answer in terms ofπ .
____
7.
____
a. 25.92π m2
b. 1.8π m2
c. 12.96π m2
d. 46.66π m2
8. Find the area of the shaded portion of the figure. Dimensions are in feet. Leave your answer in terms ofπ.
a.
(68 − 8π ) ft 2
b.
(72 − 16π ) ft 2
c.
2
(68 − 16π ) ft 2
d.
none of these
Name: ________________________
ID: A
____
9. Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm. Round to the nearest tenth.
b. 12.3 cm2
c. 2.2 cm2
d. 5.6 cm2
a. 49.2 cm2
____ 10. Find the exact area of the shaded region.
a.
(192π − 144)m2
c.
ÊÁ
ˆ
ÁÁ 8π − 144 3 ˜˜˜ m2
Ë
¯
ÊÁ
ˆ
ÁÁ 192π − 144 3 ˜˜˜ m2
d. none of these
Ë
¯
____ 11. Find the area of the shaded region. Leave your answer in terms ofπ and in simplest radical form.
b.
a.
b.
ÊÁ
ˆ
ÁÁ 120π + 6 3 ˜˜˜ m2
Ë
¯
ÊÁ
ˆ
ÁÁ 142π + 36 3 ˜˜˜ m2
Ë
¯
c.
ÊÁ
ˆ
ÁÁ 120π + 36 3 ˜˜˜ m2
Ë
¯
d.
none of these
3
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