Area & Perimeter of Sectors

is the formula for?

 $\pi r^2\ \times\left(\frac{\theta\degree}{360\degree}\right)$  

• arc length

• area of a sector

• area of a segment

• arc measure

Work out the perimeter of the sector in  $m$ .

Give your answer correct to 1 decimal place.

You do not need to type the units.

(a)  

Calculate the length of the arc. Round your answer to 2 decimal places.

• 16.2 cm
• 64.8 cm
• 16.20 cm
• 64.79 cm

Calculate the area of the sector. Round to 1 decimal places.

• 77.0 cm²
• 14.66 cm²
• 76.97 cm²
• 14.7 cm²

what is the area of this semicircle ?
d = 8 cm 

• 100.48 cm²
• 80 cm²
• 200.96 cm²
• 25.12 cm²

Find the area of this quarter circle with a radius of 6 cm.

• 56.52 cm

• 113.04 cm

• 28.26 cm

• 37.68 cm

What is the distance around the semicircle? (Use 3.14 = π and round to the nearest tenths place)

• 18.5

• 11.3

• 20.3

• 22.6

A circle has an circumference of 56.52 cm. Find the area of the circle.

• 1017.36 cm²

• 254.34 cm²

• 3194.51 cm²

• 798.63 cm²

What is the area of this three quarter circle? (Use 3.14 = π and round to the nearest tenths place)

• 763
• 1017.4
• 113
• 84.8