Question 1

In the diagram, AB = 6.  What is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

6rad2

Question 2

In the diagram, the area of the shaded sector AOC is 12π and the length of OA is 6 inches. Determine and state m∠AOC.

Accepted Answer

120˚

Question 3

Triangle FGH is inscribed in circle O, the length of radius OH is 6, and FH $\cong$OG.  What is the area of sector FOH?

Accepted Answer

6π

Answer

2π

Answer

$\frac{3}{2}$π

Answer

24π

Question 4

In the diagram, the area of shaded sector LOM is 2π.  If NL = 6, what is m<N?

Accepted Answer

40˚

Answer

80˚

Answer

20˚

Answer

10˚

Question 5

What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 60°?

Accepted Answer

$\frac{32π}{3}$

Answer

$\frac{16π}{3}$

Answer

$\frac{64π}{3}$

Answer

$\frac{8π}{3}$

Question 6

In the diagram, GO = 8 and m∠GOJ = 60°.  What is the area, in terms of π, of the shaded region?

Accepted Answer

$\frac{160π}{3}$

Answer

$\frac{4π}{3}$

Answer

$\frac{20π}{3}$

Answer

$\frac{32π}{3}$

Question 7

Determine and state, in terms of π, the area of a sector that intercepts a 40° arc of a circle with a radius of 12.  (Press option-P for the π symbol)

Accepted Answer

16pi

Question 8

In the diagram below, the circle has a radius of 25 inches. The area of the UNSHADED sector is 500π.  Determine and state the degree measure of angle Q, the central angle of the shaded sector.

Accepted Answer

72

Question 9

In the diagram, the measure of angle AOB is 120°, and the length of a radius is 6  Which expression represents the length of arc AB?

Accepted Answer

$\frac{1}{3}$(12π)

Answer

$\frac{1}{3}$(36π)

Answer

(120)(6)

Answer

$\frac{120}{360}$(6π)

Question 10

The area of a sector of a circle with a radius measuring 15 is 75π. What is the measure of the central angle that forms the sector?

Accepted Answer

120˚

Answer

144˚

Answer

72˚

Answer

180˚

Question 11

In the diagram, circle O has a radius of 10.  If m$\widehat{AB}$ = 72˚, determine and state the area of shaded sector AOB, in terms of π.  (Press option-P for the π symbol)

Accepted Answer

20pi

Question 12

In the diagram, if m∠TRE = 15° and BE = 9, then the area of sector EBR is

Accepted Answer

33.75π

Answer

3.375π

Answer

37.125π

Answer

6.75π

Question 13

What is the area of rhombus ABCD?

Accepted Answer

24

Answer

25

Answer

20

Answer

48

Question 14

Determine and state the area of triangle PQR

Accepted Answer

25

Question 15

On the set of axes, ∆ABC, altitude CG, and median CM are drawn.  Which expression represents the area of ABC?

Accepted Answer

$\frac{(CG)(AB)}{2}$

Answer

$\frac{(CB)(AC)}{2}$

Answer

$\frac{(CM)(AB)}{2}$

Answer

$\frac{(CB)(AC)}{2}$

Question 16

What is the area of DAN?

Accepted Answer

60

Answer

120

Answer

40$\sqrt{13}$

Answer

20$\sqrt{13}$

Question 17

What is the area of PQR?

Accepted Answer

25

Answer

50

Answer

20

Answer

10

Question 18

What is the area of ∆RST?

Accepted Answer

45

Answer

30

Answer

90

Answer

60

Question 19

In the diagram, AC = 10$\sqrt{2}$.  What is the length of AB?

Accepted Answer

10

Question 20

In the diagram, AC = 7$\sqrt{2}$.  What is the length of AB?

Accepted Answer

7

Question 21

In the diagram, AC = 8$\sqrt{2}$.  What is the length of AB?

Accepted Answer

8

Question 22

In the diagram, AB = 15.  What is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

15rad2

Question 23

In the diagram, AC = 4$\sqrt{2}$.  What is the length of AB?

Accepted Answer

4

Question 24

In the diagram, AC = 18$\sqrt{2}$.  What is the length of AB?

Accepted Answer

18

Question 25

In the diagram, AB = 3.  What is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

3rad 2

Question 26

In the diagram, AB = 9.  What is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

9 rad2

Question 27

In the diagram, m<C = 30˚.  If AB = 11, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

11rad 3

Question 28

In the diagram, AB = 7.  What is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

7rad2

Question 29

In the diagram, m<A = 60˚.  If AB = 8, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

16

Question 30

In the diagram, m<A = 60˚.  If AB = 12, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

24

Question 31

In the diagram, m<C = 30˚.  If AB = 5, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

10

Question 32

In the diagram, m<C = 30˚.  If AB = 16, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

32

Question 33

In the diagram, m<A = 60˚.  If AB = 7, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

7 rad3

Question 34

In the diagram, m<C = 30˚.  If AB = 8, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

8rad 3

Question 35

In the diagram, m<A = 60˚.  If AB = 4, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

4 rad3

Question 36

In the diagram, m<A = 60˚.  If BC = 5$\sqrt{3}$, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

5

Question 37

In the diagram, m<A = 60˚.  If BC = 9$\sqrt{3}$, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

9

Question 38

In the diagram, m<C = 30˚.  If BC = 2$\sqrt{3}$, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

2

Question 39

In the diagram, m<C = 30˚.  If BC = 6$\sqrt{3}$, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

6

Question 40

In the diagram, m<C = 30˚.  If BC = 6$\sqrt{3}$, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

12

Question 41

In the diagram, m<A = 60˚.  If BC = 10$\sqrt{3}$, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

20

Question 42

In the diagram, m<C = 30˚.  If BC = 8$\sqrt{3}$, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

16

Question 43

In the diagram, m<A = 60˚.  If BC = 15$\sqrt{3}$, what is the length of AC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

30

Question 44

In the diagram, m<A = 60˚.  If AC = 16, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

8

Question 45

In the diagram, m<A = 60˚.  If AC = 22, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

11

Question 46

In the diagram, m<C = 30˚.  If AC = 10, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

5

Question 47

In the diagram, m<C = 30˚.  If AC = 32, what is the length of AB?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

16

Question 48

In the diagram, m<C = 30˚.  If AC = 32, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

16rad3

Question 49

In the diagram, m<C = 30˚.  If AC = 12, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

6rad3

Question 50

In the diagram, m<A = 60˚.  If AC = 18, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

9rad 3

Question 51

In the diagram, m<A = 60˚.  If AC = 14, what is the length of BC?  (If you need to express the answer with a radical like 5$\sqrt{7}$, write 5rad7)

Accepted Answer

7 rad3

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