Area and Perimeter of a sector

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