Arc Length and Area of a Sector

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47
• 74
• 94
• 123

Find the area of the dark blue sector shown at the left.  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 thenearest tenth of a square unit.

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

Find the arc length of arc AB.

• 12.57 units
• 75.40 units
• 24 units
• 125.66 units

Find the arc length.

• 37.70 cm
• 6.28 cm
• 28.27 cm
• 9.42 cm

Find the area of the shaded sector.

• 37.70 cm²
• 6.28 cm²
• 28.27 cm²
• 9.42 cm²

If the radius of this orange is 16mm, what is the area of one section? (Hint: There are 10 congruent sections of the orange.)

• 71mm²
• 80.4mm²
• 31.5mm²
• 31.4cm²

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slice?

• 2.36in
• 7in
• 3.53in

What is  $\frac{11\pi}{6}$   radians in degrees? 

• 30

• 330

• 360

•  300

What is 225  degrees in radians? 

• 7π/4
• 5π/4
• 3π/4
• 5π/3

How many radians does a circle have?

• 360 degrees

• $2\pi$ radians

• $\pi$ radians

• ^{2 radians}