Arc Length and Area of a Sector

Arc Length and Sector Area

​This is a quick recap on Chapter 5. You will need to remember the 2 formula to find arc length and area of sector.

ARC LENGTH
- refers to the 'crust' of the pizza

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Multiple Choice

The circle has radius 10cm and $$\angle YXZ=45\degree$$ . Find the arc length YZ.

• 7.85 cm

• 3.93 cm

• 55.0 cm

• 62.8 cm

Multiple Choice

Calculate the area of the minor sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Multiple Choice

Calculate the area of the major sector sector.

• 9.2 $$cm^2$$

• 10.5 $$cm^2$$

• 31.4 $$cm^2$$

• 81.7 $$cm^2$$

Multiple Choice

Calculate the length of the major arc.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm

Multiple Choice

Find the perimeter of the shaded sector of circle centre O, given that the radius is 6 cm and the central angle is 100°.  Express answer correct to 3 significant figures.

• 10.5 cm

• 22.5 cm

• 27.2 cm

• 39.2 cm