05 Arc Length & Area of Sectors

What is the length of an arc in a circle with diameter of 12 cm and a central angle of 125^o?

• 13.1 cm

• 26.2 cm

• 37.7 cm

• 150.8 cm

How long is an arc in a circle with radius 7 cm and a central angle of  $\frac{3\pi}{5}$ ?  

• 13.2 cm

• 26.4 cm

• 6.6 cm

• 46.2 cm

What is the area of a sector in a circle with radius 10 cm and central angle of 200^o?

• 34.9 cm²

• 174.5 cm²

• 698.1 cm²

• 17.5 cm²

What is the area of a sector with a central angle of $\frac{10\pi}{9}$ and a diameter of 18 cm?   

•  $5\pi$  sq cm

•  $45\pi$  sq cm

•  $10\pi$  sq cm

•  $180\pi$  sq cm

You run on a circular track for a distance of 400 meters. If you ran through a angle of 5 radians, what is the radius of the track?

• 80 m

• 4584 m

• 32 m

• 117 m

The logo for a local business is in the shape of a circular sector. The area of the logo is 78.1 square centimeters and has a radius of 11 cm. What is the measure of the central angle, in radians. for the logo?

• 1.3

• 2.7

• 14.2

• 7.1

Two cities A and B lie on the same longitude. City A has a latitude of 29^o57'4" and city B has a latitude of 39^o6'11". What is the distance between the two cities, in km, if the radius of Earth is 6378.1 km?

• 1018.8 km

• 509.4 km

• 3195012 km

• 15975.7 km

A caterpillar is crawling along a circular wall around a garden. If the diameter of the garden is 25 meters and the caterpillar crawls through a rotation of 225^o, how far as the caterpillar crawled?

• 24.5 m

• 49.1 m

• 306.8 m

• 1227.2 m