question

The measure of central angle RST is radians.
What is the area of the shaded sector?
4
8
16
20

answer

b. 8pi units squared

question

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ.
What is the area of circle C, which passes though points W and Z?
81
164
324
1296

answer

c. 324pi units squared

question

In circle V, r = 14ft.
What is the area of circle V?
14
28
49
196

answer

d. 196pi ft squared

question

Point G is the center of the small circle. Point X is the center of the large circle. Points G, H, and X are on line segment GX.
What would be the area of a new circle that has line segment GX as its diameter?
16
36
49
98

answer

c. 49pi cm squared

question

The measure of central angle YCZ is 80 degrees.
What is the sum of the areas of the two shaded sectors?
18 units2
36 units2
45 units2
81 units2

answer

b. 36pi units2

question

Which statements are true about circle Q? Select three options.
The ratio of the measure of central angle PQR to the measure of the entire circle is .
The area of the shaded sector is 4 units2.
The area of the shaded sector depends on the length of the radius.
The area of the shaded sector depends on the area of the circle.
The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.

answer

a. The ratio of the measure of central angle PQR to the measure of the entire circle is .
c. The area of the shaded sector depends on the length of the radius.
e. The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.

question

What is the area of the shaded sector of the circle?
9
27
81
162

answer

b. 27pi units squared

question

In circle G, r = 3 units. Maria draws a circle with double the area of circle G.
What is the area of Maria's circle?
6
9
12
18

answer

d. 18pi units squared

question

The measure of central angle XYZ is 1.25 radians.
What is the area of the shaded sector?
10 units2
20 units2
40 units2
80 units2

answer

c. 40pi units squared

question

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.
Since the circumference of the circle can be represented by 2Ï€r, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure?
A = (2Ï€r)(r)
A = (2Ï€r)(2r)
A =(2Ï€r)(r)
A =(2Ï€r)(r2)

answer

c. A =1/2(2Ï€r)(r)