NBT Mathematics: Geometry and Trigonometry 2

Question 1

A circle has a radius of 7 cm. What is its circumference?

Accepted Answer

14π cm

Answer

Circumference = 2πr = 2π(7) = 14π cm.

Question 2

In triangle ABC, angle A = 35° and angle B = 75°. What is angle C?

Accepted Answer

70°

Answer

Angles in a triangle sum to 180°, so C = 180° − 35° − 75° = 70°.

Question 3

What is sin(45°)?

Accepted Answer

√2/2

Answer

sin(45°) = √2/2 ≈ 0.707, derived from the 45-45-90 triangle.

Question 4

A rectangle has length 12 m and width 5 m. What is the length of its diagonal?

Accepted Answer

13 m

Answer

By the Pythagorean theorem, diagonal = √(12² + 5²) = √(144 + 25) = √169 = 13 m.

Question 5

The bearing of point B from point A is 120°. What is the bearing of A from B?

Accepted Answer

300°

Answer

The reverse bearing is found by adding or subtracting 180°: 120° + 180° = 300°.

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