Area and Perimeter of Sectors

Area and Perimeter of a sector

Chapter 12.4

Multiple Choice

Which of the following shows the correct working out when finding the AREA of the SECTOR shown in the diagram?

• $$\frac{75}{360}\times\left(\pi\times8\right)$$

• $$\frac{75}{360}\times\left(\pi\times8^2\right)$$

• $$\frac{75}{360}\times2\times\pi\times8$$

• $$\frac{75}{360}\times\left(2\times\pi\times8^2\right)$$

Multiple Choice

Calculate the area

• $$3cm$$

• $$3.44cm^2$$

• $$2.6cm^2$$

• $$4cm^2$$

Multiple Choice

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Give your answer to two decimal places.

• 5.24

• 10.47

• 3.142

• 40π

Multiple Choice

What is the area of the shaded region? Round to the nearest hundredth.

• 1.26

• 452.39

• 9.42

• 113.10

Multiple Select

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body? Give your answer to two decimal places.

• 161.97mm²

• 39.10mm²

• 40.49mm²

• 9.77mm²

Multiple Choice

Which of the following shows the correct working out when finding the ARC LENGTH of the sector shown in the diagram?

• $$\frac{45}{360}\times\left(2\times12\right)$$

• $$\frac{45}{360}\times\left(2\times\pi\times12\right)$$

• $$45\times2\times\pi\times12$$

• $$\frac{360}{45}\times\left(2\times\pi\times12\right)$$

Multiple Choice

What fraction of the circle is shaded, in its simplest form?

• $$\frac{90}{360}$$

• $$\frac{100}{360}$$

• 90

• $$\frac{1}{4}$$

Multiple Choice

Find the perimeter of the sector

• 9.7cm

• 5cm

• 6.4cm

• 10.1cm