Math Analysis Quiz - Lesson 8-1

Convert the degree measure to radians. Leave answer as a rational multiple of  $\pi$ .   $270\degree$  

•  $\frac{3\pi}{2}$  radians

•  $\frac{4\pi}{3}$  radians

•  $\frac{5\pi}{4}$  radians

•  $2\pi$  radians

Convert the radian measure to degrees. Round answer to the nearest minute. 1.74 radians

• $99.6\degree$

• $99\degree41'$

• $99\degree42'$

• $99.7\degree$

Approximate the area of a sector of a circle with radius = 5 feet and  $\theta$ =  $\frac{2\pi}{3}$  .  Round your answer to the nearest tenth.

• 26.18 sq.ft.

• 26.1 sq.ft.

• 26.179 sq.ft.

• 26.2 sq.ft.

Find the length of the arc intercepted by a central angle  $\theta$ =  $60\degree$ in a circle of radius 23.5 cm.  Round your answer to the nearest hundredth.

• 24.61 cm

• 24.61 sq. cm

• 24.609 cm

• 24.61 ft.

Find the measures of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of the angle.   $174\degree$  

•  $-6\degree$  , $354\degree$  ,QII

•  $-186\degree$  , $534\degree$  ,QII

•  $84\degree$  , $264\degree$  ,QI

•  $174\degree$  , $354\degree$  ,QI