Geometry and Trigonometry

What is the length of this arc, with an angle of 12° and a radius of 5 mm?

• 1.05 mm

• 1/3

• 30 mm

True or False? The length of an arc is a part of a circumference of a circle.

• True

• False

A car drives around a roundabout with a 80 ft radius. The roads it enters and exits from are 100° apart. How far around the roundabout does the car drive?

• 120 ft

• 140 ft

• 160 ft

In a triangle, an angle of 60 degrees is formed by two sides of lengths 4 and 11. If the length of the remaining side is √a, what is a?

• 9.64

• 93

• 96.4

• 93.6

Ship A leaves port P and travels on a bearing of 200°. A second ship B leaves the same port P and travels on a bearing of 165°. After half an hour ship A has travelled 5.2 km and ship B has travelled 5.8 km. How far apart are the ships after half an hour? Give the answer to three significant figures.

• 3.46 km

• 4.26 km

• 3.36 km

• 4.56 km

What is the area of the following sector? (approximate pi to 3.14)

• 452.16

• 120

• 150.72

• 1,356.48

If a clock's face measures 14 inches across (the diameter), how much area is between the minute and hour hands at 5 o' clock? (approximate pi to 3.14)

• 153.86

• 64.11

• 49.00

• 156.83

What is the sine of 60 degrees?

• 1/2

• √3/2

• √2/2

what is the cosine of 90 degrees?

• 1

• 0

• √3/2

what is tan(45) ?

• √2/2

• 0

• 1