AnswersIntegrated Math II FullArea of a Circle

Area of a Circle — Unit test Answers

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1
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The diagram below shows triangle MNR with ray NM.What is the measure of ?

Question illustration
A
3°
B
5°
C
18°
D
28°
2
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Which statement is true about the circumference of a circle?

A
The circumference is the measurement around the circle.
B
The circumference is the measurement of the radius.
C
The circumference is the measurement of the diameter.
D
The circumference is double the radius.
3

Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle.How much fencing will Jordana need? Use for .

Question illustration
A
64 ft
B
86 ft
C
92 ft
D
114 ft
4

Kaleem wanted to draw a triangle where the sides measured 5 cm, 8 cm, and 7 cm. How many unique triangles could Khaleem draw that fit these dimensions?

A
1
B
2
C
3
D
4
5

Yu-Xi draws a triangle with two angles measuring and . What is the measure, in degrees, of the third angle?

Question illustration
A
78
B
79
C
101
D
102
6

What is the area of the rectangle, in square feet?

Question illustration
A
29
B
58
C
120
D
180
7

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

A
Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.
B
Yes, because the area will just be twice the circumference so all he has to do is multiply by 2.
C
No, because the circumference equals and there is no in 125.6.
Option C
D
No, because the circumference equals so he could only find the diameter. He needs the radius for the area formula.
Option D
8

A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A
pentagon
B
hexagon
C
heptagon
D
octagon
9

Isosceles triangle ABC is shown below.What is the value of x?

Question illustration
A
22°
B
79°
C
136°
D
158°
10

Which name accurately describes the figure shown below and why?

Question illustration
A
trapezoid, because it has four sides of equal length and opposite sides that are parallel
B
trapezoid, because it has four sides of equal length and four right angles
C
rhombus, because it has four sides of equal length and opposite sides that are parallel
D
rhombus, because it has four sides of equal length and four right angles
11

What is the circumference of this circle, in millimeters? Use for .

Question illustration
A
154
B
308
C
484
D
968
12

Kayley needs to find the area of a circle. Which process should she use?

A
She should multiply the diameter by 2 and then multiply the result by 3.14.
B
She should multiply the radius by 2 and then multiply the result by 3.14.
C
She should square the diameter and then multiply the result by 3.14.
D
She should square the radius and then multiply the result by 3.14.
13

A circular rug has a radius of 4.5 feet. What is the circumference of the rug? Use 3.14 for and round to the hundredths place.

Question illustration
A
14.13
B
28.26
C
44.37
D
88.74
14

If is 155°, what is ?

Question illustration
A
25°
B
35°
C
155°
D
180°
15

Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Eun’s plan?

A
Joo-Eun cannot draw a triangle with these side lengths.
B
Joo-Eun can only draw one unique triangle with these side lengths.
C
Joo-Eun can draw exactly two triangles with these side lengths.
D
Joo-Eun can draw more than one triangle with these side lengths.

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