Radian Measure and Circular Functions

 Express 225°in radians

•  $\frac{3\pi}{4}$  

•  $\frac{5\pi}{4}$  

•  $\frac{7\pi}{4}$  

•  $-\frac{\sqrt{2}}{2}$  

Tags

CCSS.HSF.TF.A.1

Express  $\frac{3\pi}{2}$  radians in degrees

•  $90^{\degree}$  

•  $135^{\degree}$  

•  $270\degree$  

•  $300^{\degree}$  

Tags

CCSS.HSF.TF.A.1

An angle has a measure of 3 radians. What is its measure in degrees?

• $\frac{3\pi}{2}$

• $\frac{180}{3\pi}$

• $\frac{540}{\pi}$

• $\frac{\pi}{540}$

Tags

CCSS.HSF.TF.A.1

Part of a circle has arc length 12. The radius of the circle is 4. What is the measure of the central angle in radians?

• $\frac{1}{3}$

• 3

• $3\pi$

• 36

Tags

CCSS.HSG.C.B.5

What is the area of the shaded sector?  The radius of the circle is 5 and the central angle is 4 radians.

• 10 square units

• $10\pi$ square units

• 50 square units

• $50\pi$ square units

Tags

CCSS.HSG.C.B.5

An automobile tire with diameter 2 feet turns 10 times per second. How far does a point on the tread travel in one minute?

• 600 feet

•  $600\pi\$  feet

•  $1200\pi$  feet

•  $2400\pi$  feet

Tags

CCSS.7.G.B.4

The point  $\left(\frac{3}{5},-\frac{4}{5}\right)$  is s units from (1,0) along the unit circle  $x^2+y^2=1$  Find the exact value of the sine of s.

•  $\frac{3}{5}$  

•  $-\frac{4}{5}$  

•  $\frac{4}{5}$  

• 5

Tags

CCSS.HSF.TF.C.8

 $\tan\ \frac{15\pi}{4}$  Determine the exact value of

•  $-\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{2}}{2}$  

• -1

• 1

Tags

CCSS.HSF.TF.A.2

 $\cos\ x\ \approx0.7248$  x is measured in radians,  $0\le x\le\frac{\pi}{2}$  What is x to the nearest hundredth?

• .72

• .76

• 43.55

• -.76

Tags

CCSS.HSF.TF.B.7

To four decimal places approximate tan 1.4 radians.

• .0244

• 4.3982

• 5.7979

• None of the above

Tags

CCSS.HSF.TF.A.2