Geometry Trigonometry

Find a.

Find the measure of angle A.

Find the measure of angle B.

Find the trigonometric ratio for sine.

The diagram shows a circle with center O and radius 10 cm. A and B are points on the circumference such that arc AB makes an angle of 150° at O

Calculate the area of the shaded segment.

Give your answer to the nearest cm²

• 96 cm²

• 106 cm²

• 116 cm²

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

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

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

Calculate the surface area of the following pyramid.

• 180 cm²

• 178 cm²

• 187 cm²

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

• True

• False