Sectors and Circle Review

What is 135 degrees in radians?

what is the area of this semicircle with a diameter of 8 cm? Give answer in terms of π.

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You stop for lunch at a local pizza shop where each pizza is cut into 8 slices. Would you get more pizza with one slice from a 16 inch diameter pizza or two slices from a 10 inch diameter pizza?

• One Slice

• Two Slices

Find the area of the sector, rounding your answer to 1d.p.

• 209.4cm²

• 209.3cm²

• 104.7cm²

• 104.1cm²

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.
• 10.5 sq. in.
• 31.4 sq. in.
• 38.2 sq. in.

Find the area of the shaded sector. Leave answer in terms of  $\pi$ 

•  $5\ \pi\ cm^2$ 

• $3\ \pi\ cm^2$

• $24\ \pi\ cm^2$

• $40\ \pi\ cm^2$

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5
• 9
• 8
• 6

The area of a sector with a radius of  $6\ cm$  is  $35.4\ cm^2$ . Calculate the angle of the sector.  $\left(\pi=3.14\right)$  

•  $112.67\degree$  

•  $113.67\degree$  

•  $112.87$  

•  $112.87\degree$  

Find the area of sector.

•  $14\pi\ cm^2$  

•  $147\pi\ cm^2$  

•  $147\ cm^2$  

•  $73.5\pi\ cm^2$  

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90
• 60
• 55
• 113