Question 1

Jenny’s birthday cake is circular and has a 30 cm radius. Her slice creates an arc with a central angle
of 120°. What is the area of Jenny’s slice of cake? Give your answer in terms of π .

Accepted Answer

$300\pi\space  cm^2$

Answer

$3600\pi\space cm^2
$

Answer

$150\pi\space cm^2
$

Answer

$10\pi\space cm^2$

Question 2

Find the arc length of an arc with measure 130° in a circle with radius 2 in. Round to the nearest tenth.

Accepted Answer

4.5 in

Answer

0.5 in

Answer

2.3 in

Answer

10.2 in

Question 3

If arc of circle of radius 30 cm has a length of 19 cm then center angle of circle is

Accepted Answer

36.28

Answer

51.28

Answer

16.28

Answer

46.28

Question 4

If radius is 21 cm and angle at center of circle is 140° then length of arc is

Accepted Answer

51.31 cm

Answer

73.24 cm

Answer

62.42 cm

Answer

42.23 cm

Question 5

If radius is 18 cm and angle at center of circle is 120° then area of sector is

Accepted Answer

$339.3\space cm^2$

Answer

$382.4\space cm2$

Answer

$300\space cm2$

Answer

$350\space cm2$

Question 6

Find the area of the segment of the circle.

Accepted Answer

$353.8\space units^2$

Answer

$109.0\space units^2$

Answer

$249.4\space units^2$

Answer

$603.2\space units^2$

Question 7

Find the area of the segment.

Accepted Answer

$(9π - 18)$$cm^2$

Answer

$(9π - 36)$$cm^2$

Answer

None of these are the area

Answer

$(36π - 18)$$cm^2$

Question 8

Your school has a new running track. The interior will be planted with grass. To the nearest square meter, how much grass seed is needed to cover the interior of the track? Use 3 for л.

Accepted Answer

108

Answer

81

Answer

27

Answer

54

Question 9

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

Accepted Answer

15.7 square units

Answer

50.3 square units

Answer

0.3 square units

Answer

19.7 square units

Question 10

FIND THE SECTOR AREA OUTLINED IN BOLD

Accepted Answer

D

Answer

A

Answer

B

Answer

C

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