AnswersCR CCSS Math 2 S2 M2960OXParallelograms

Area of a Circle and a Sector Answers

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The circular face of a watch has an area that measures between 800 and 900 square millimeters.What could be the radius of the watch face? Use 3.14 for .

Question illustration
A
14 mm
B
15 mm
C
16 mm
D
17 mm
2
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Circle G is shown. Line segment F G is a radius with length 3.

Question illustration
A
6
Option A
B
9
Option B
C
12
Option C
D
18
Option D
3

The measure of central angle YCZ is 80 degrees.

Question illustration
A
18 units2
Option A
B
36 units2
Option B
C
45 units2
Option C
D
81 units2
Option D
4

Circle L is shown. Line segments K L and M L are radii. The length of K L is 9. Angle M L K is 120 degrees. Sector M L K with a 120 degree angle is shaded.

Question illustration
A
9
Option A
B
27
Option B
C
81
Option C
D
162
Option D
5

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?

A
7
Option A
B
14
Option B
C
28
Option C
D
49
Option D
6

Which statements are true regarding the area of circle D? Select two options.

A
The area of the circle depends on the square of the radius.
B
The area of circle D is 36.
Option B
C
The area of circle D is 324
Option C
D
The area of the circle depends on the square of pi.
E
The area of the circle depends on the central angle.
7

Circles G and X are connected at point H. The length of G H is 6 centimeters and the length of H X is 8 centimeters.

Question illustration
A
16
Option A
B
36
Option B
C
49
Option C
D
98
Option D
8

2 smaller circles are within a larger circle. The smallest circle has radius D C. Line segment C B is the distance to the rim of the next circle. Line segment B A is the distance to the rim to the next circle.

Question illustration
A
80
Option A
B
96
Option B
C
208
Option C
D
464
Option D
9

Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

Question illustration
A
4
Option A
B
8
Option B
C
16
Option C
D
20
Option D
10

Circle V is shown. Line segment T V is a radius with length 14 feet.

Question illustration
A
14
Option A
B
28
Option B
C
49
Option C
D
196
Option D
11

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula .

Question illustration
A
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
B
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
C
The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
D
The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
12

Circles C and D overlap. The distance from point C to point D is 7 centimeters.

Question illustration
A
7
Option A
B
14
Option B
C
49
Option C
D
98
Option D
13

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet.

Question illustration
A
172.70 ft2
B
178.98 ft2
C
200.96 ft2
D
379.94 ft2

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