Aviation Math - REVISION - CHAP3 - Lesson 3.5

Aviation Math - REVISION - CHAP3 - Lesson 3.5

Professional Development

25 Qs

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Aviation Math - REVISION - CHAP3 - Lesson 3.5

Aviation Math - REVISION - CHAP3 - Lesson 3.5

Assessment

Quiz

Mathematics

Professional Development

Easy

Created by

Kabeer Asim

Used 4+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Calculate the length of the arc of the given sector. Give your answer to one decimal place and include units. Sector with radius 6 cm and a right angle (90°).

Arc length = (90/360) × 2π × 6 = 3π cm ≈ 9.4 cm

Arc length = (90/180) × 2π × 6 = 6π cm ≈ 18.8 cm

Arc length = (90/360) × π × 6 = 1.5π cm ≈ 4.7 cm

Arc length = (90/360) × 2π × 3 = 1.5π cm ≈ 4.7 cm

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Calculate the length of the arc of the given sector. Give your answer to one decimal place and include units. Sector with radius 15 cm and central angle 120°.

Arc length = (120/360) × 2π × 15 = 10π cm ≈ 31.4 cm

Arc length = (120/360) × 2π × 15 = 5π cm ≈ 15.7 cm

Arc length = (120/360) × 2π × 15 = 20π cm ≈ 62.8 cm

Arc length = (120/360) × 2π × 15 = 7.5π cm ≈ 23.6 cm

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Calculate the length of the arc of the given sector. Give your answer to one decimal place and include units. Sector with radius 4 m and central angle 30°.

Arc length = (30/360) × 2π × 4 = (1/12) × 2π × 4 = (2/3)π m ≈ 2.1 m

Arc length = (30/180) × 2π × 4 = (1/6) × 2π × 4 = (4/3)π m ≈ 4.2 m

Arc length = (30/360) × π × 4 = (1/12) × π × 4 = (1/3)π m ≈ 1.0 m

Arc length = (30/360) × 2π × 2 = (1/12) × 2π × 2 = (1/3)π m ≈ 1.0 m

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Calculate the length of the arc of the given sector. Give your answer to one decimal place and include units. Sector with radius 8 cm and central angle 14°.

Arc length = (14/360) × 2π × 8 ≈ 2.0 cm

Arc length = (14/360) × 2π × 8 ≈ 3.1 cm

Arc length = (14/360) × 2π × 8 ≈ 0.8 cm

Arc length = (14/360) × 2π × 8 ≈ 4.9 cm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A sector has a radius of 60cm and a central angle measuring 235°. What is the arc length?

Arc length = (235/360) × 2π × 60 ≈ 246.1 cm

Arc length = (235/360) × 2π × 60 ≈ 123.1 cm

Arc length = (235/360) × 2π × 60 ≈ 392.4 cm

Arc length = (235/360) × 2π × 60 ≈ 188.5 cm

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the area of a sector with radius 12 cm and a right angle (90°). Leave your answer in terms of π.

Area = (90/360) × π × 12² = 36π cm²

Area = (90/180) × π × 12² = 72π cm²

Area = (90/360) × π × 12 = 3π cm²

Area = (90/360) × π × 12² = 24π cm²

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the area of a sector with radius 12m with a central angle of 60°. Leave your answer in terms of π.

Area = (60/360) × π × 12² = 24π m²

Area = (60/360) × π × 12² = 48π m²

Area = (60/360) × π × 12² = 12π m²

Area = (60/360) × π × 12² = 36π m²

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