Sector Area in Radians

Pure 1 Radians - Area of a Sector

Multiple Choice

Convert 35π / 18 radians into degrees

• 350^o

• 340^o

• 355^o

• 345⁰

Multiple Choice

Convert 510^o to Radians

• 25π / 3

• 23π / 8

• 17π / 6

• 51π / 8

Multiple Choice

Find the arc length.  Leave your answer in terms of π.

• 7/4π
• 7/2π
• 1/8π
• 45π

Multiple Choice

From the picture above, the value of $$\theta$$ when $$r=8\ cm$$ and the area of the shaded area $$A=16\ cm^2$$ is ..... $$rad.$$  

• 0.3

• 0.4

• 0.5

• 0.6

Multiple Choice

Find the area of the sector shown if the radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to the nearest tenth of a square unit.

• 0.3 square units
• 15.7 square units
• 19.7 square units
• 50.3 square units

Multiple Choice

You stop for lunch at a local pizza shop where each pizza is cut into 8 slices.  Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from a 12 inch pizza

• One Slice
• Two Slices

Multiple Choice

Find the area of the shaded sector of the circle.

Multiple Choice

What formula is this?

• Arc length when θ is in radians

• Arc length when θ is in degrees

• Sector Area when θ is in radians

• Sector Area when θ is in degrees

Multiple Choice

The figure above shows a sector of a circle, centre O, radius 6 cm. Angle AOB $$\frac{2\pi}{3}$$  radians. The area of the blue region is ..... $$cm^2.$$  

• $$12\pi-9\sqrt{3}$$  

• $$12\pi-8$$  

• $$18\pi-9\sqrt{3}$$  

• $$18\pi-8$$  

Multiple Choice

What is the area of the red shaded segment?

• 25 in²
• 28.5 in²
• 12.5 in²
• 383.4 in²