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Geometry - Circles ACT Questions

Total questions: 6

Worksheet time: 9mins

Name
Class
Date
1.

Which of the following expresses the number of meters a contestant must travel in a 3-lap race where the course is a circle of radius R meters?

a)

3R3R

b)


3πR3\pi R

c)

3πR23\pi R^2

d)

6R6R

e)

6πR26\pi R^2

2.

In the circle shown below, M is the center and lies on RU and ST\overline{RU}\ and\ \overline{ST} . Which of the following statements is NOT true?

a)

mRSM = 65°m\angle RSM\ =\ 65^{\degree}

b)

RS  TU\overline{RS}\ \parallel\ \overline{TU}

c)

arcTU = 50°arcTU\ =\ 50\degree

d)

RMTM\overline{RM}\cong\overline{TM}

e)

RS  SM\overline{RS}\ \cong\ \overline{SM}

3.

A poll of 200 registered voters was taken before the election of Springdale's mayor. If the information in the chart were converted to a circle graph/pie chart, then the central angle for Gomez should measure how many degrees?

a)

54°54\degree

b)

72°72\degree

c)

90°

d)

108°

e)

144°

4.

Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 feet from the stake in any direction. Using 3.14 for pi, what is the approximate area of the lawn, in square feet, that the dog could reach from the stake?

a)

28

b)

57

c)

113

d)

254

e)

283

5.

The figure below consists of a square and 2 semicircles, with dimensions as shown. What is the outside perimeter, in centimeters, of the figure?

a)

8 + 8π

b)

16 + 8π

c)

16 + 16π

d)

32 + 8π

e)

32 + 16π

6.

In the circle shown below, diameters TR and QS intersect at P, which is the center of the circle, and the measure of ∠PST is 30°. What is the degree measure of minor arc RS?

a)

30°

b)

45°

c)

60°

d)

90°

e)

Cannot be determined from the given information