Unit 2 Review

2.7
Find the area of a sector with a central angle of 7.2 radians and a radius of 14 units.
(pg. 167 #1)

• 705.6 square units
• 6,963.98 square units
• 100.8 square units
• 994.86 square units

2.7
A rotating sprinkle sprays a stream of water 32 feet long. The sprinkler rotates 220^o. What is the area of the portion of the yard that is watered by the sprinkler?
(pg. 167 # 9)

• 122.87 ft²
• 201.06 ft²
• 1965.94 ft²
• 3216.99 ft²

2.7
A circle has a radius of 10.6 units. Find the area of the sector with an arc length of 15.9 units.
(pg. 167 #4)

• 84.27 units²
• 352.99 units²
• 66.6 units²
• 3.0 units²

2.6
How many radians does the hour hand on a clock travel through from 2 to 10?
(pg. 155 #8)

• 30
• 240
• 13,750.99
• 4.19

2.6
A Ferris wheel has 16 seats and a diameter of 60 feet. The wheel lets off passengers in one seat, and them revolves until the next seat is at the platform. Approximately how far does each seat travel?
(pg. 155 #7)

• 176.7 feet
• 11.78 feet
• 23.56 feet
• 188.5 feet

2.7
A sector has a central angle of (17π/12) radians and an area of 14 square units. Find the area of the circle.

• 336 units²
• 9.92 units²
• 19.76 units²
• (119π/6) units²
  π

2.4
The weather satellite shown below covers the area between the signals. One signal hits the exterior of the coverage area in exactly one point. The other signal hits the exterior of the coverage area in exactly 2 points. Based on the information in the diagram, what is the angle measure formed by the two weather signals? (the angle is 43)

• 24°
• 94°
• 47°
• 71°

2.4
Circle A has radius 5 and AD is perpendicular to BC.  Find the length of BG .

• 5.54 units  
• 9.54 units
• 6 units
• 10 units

2.4
PQ is tangent to circle R at point Q in the diagram below. What is the length of PQ to the nearest whole number?

• 12 units 
• 19 units
• 17 uhits
• 15 units

2.3
m∢IGH is (0.4a)^o and arc JK is 20^o. What is a?

• 64
• 400
• 8
• 50