Aviation Math - REVISION - CHAP3 - Lesson 3.5

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

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

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

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

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

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

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

Find the area of a sector with radius 9 cm and central angle 120°. Give your answer in terms of π.

• Area = (120/360) × π × 9² = 27π cm²

• Area = (120/360) × π × 9² = 54π cm²

• Area = (120/360) × π × 9² = 18π cm²

• Area = (120/360) × π × 9² = 81π cm²

Find the area of a sector with radius 18 cm and central angle 240°. Give your answer in terms of π.

• Area = (240/360) × π × 18² = 108π cm²

• Area = (240/360) × π × 18² = 216π cm²

• Area = (240/360) × π × 18² = 54π cm²

• Area = (240/360) × π × 18² = 36π cm²

Name the parts of the circle.

• Answers will include: circumference, radius, diameter, chord, sector, segment, tangent, arc and secant

• Answers will include: square, rectangle, triangle, parallelogram.

• Answers will include: vertex, edge, face, apex.

• Answers will include: numerator, denominator, quotient, divisor.