QUIZ for MAJOR GRADE - Polar Coordinates and Equations

What is the Polar Coordinate of Point A?

• $\left(3,\ \frac{\pi}{6}\right)$

• $\left(-3,\frac{\pi}{6}\right)$

• $\left(1,\frac{\pi}{6}\right)$

• $\left(3,\frac{2\pi}{3}\right)$

Check all the correct answers. What are the polar coordinates for Point D?

• $\left(4,\frac{7\pi}{6}\right)$

• $\left(-4,\frac{\pi}{6}\right)$

• $\left(-4,\frac{13\pi}{6}\right)$

• $\left(4,\frac{\pi}{6}\right)$

What is a correct statement about Point C?

• The r value of the coordinate is .25 .

• The theta, $\theta$ , value of the polar coordinate is $\frac{\pi}{12}$ .

  
  

• The theta, $\theta$ , value of the polar coordinate is $\frac{11\pi}{12}$ and the r value is 1.

• The theta, $\theta$ , value of the polar coordinate is $\frac{11\pi}{12}$ and the r value is 2.

What is the Polar Coordinate of Point B?

•  $\left(4,\ \frac{5\pi}{6}\right)$ 

•  $\left(-4,\frac{5\pi}{3}\right)$ 

•  $\left(4,\frac{5\pi}{3}\right)$ 

•  $\left(-4,\frac{2\pi}{3}\right)$ 

Use the Polar distance formula to find the distance between these two points.

 $\left(2,\frac{19\pi}{12}\right)\ and\ \left(3,\ \frac{\pi}{3}\right)$  

•  $d=4.64$  

•  $d=21.48$  

•  $d=1$  

•  $d=7.2$  

Use the Polar distance formula to find the distance between these two points.

$\left(4,150\degree\right)\ and\ \left(2,\ 195\degree\right)$

• $d=2.95$

• $d=3.5$

• $d=2$

• $d=8.68$

Identify the graph of

 $r=3\cos\theta$  

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Identify the graph of

 $r=-2\sin\theta$  

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Use the Polar distance formula to find the distance between these two points.

 HINT: Be sure to write down the coordinates first THEN use the distance formula

•  $d=5.58$  

•  $d=4.34$  

•  $d=31.15$  

•  $d=18.84$  

Use the Polar distance formula to find the distance between these two points.

HINT: Be sure to write down the coordinates first THEN use the distance formula

• $d=2$

• $d=4.5$

• $d=3.98$

• $d=4.91$