To convert from degrees to RADIANS

multiply by π 180 ° \frac{π}{180°} 1 8 0 ° π

multiply by 180 ° π \frac{180°}{π} π 1 8 0 °

multiply by π 2 \frac{π}{\sqrt{2}} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> π

multiply by π 3 \frac{π}{\sqrt{3}} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> π

To convert from radians to DEGREES

multiply by 180 ° π \frac{180°}{π} π 1 8 0 °

multiply by π 180 ° \frac{π}{180°} 1 8 0 ° π

multiply by π 2 \frac{π}{\sqrt{2}} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> π

multiply by π 3 \frac{π}{\sqrt{3}} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> π

Which of the following angles are co-terminal to $$\frac{13\pi}{6}$$ ?

$$\frac{25\pi}{6}$$ , $$\frac{-11\pi}{6}$$

$$\frac{17\pi}{6}$$ , $$\frac{-7\pi}{6}$$

$$-\frac{\pi}{6}$$ , $$\frac{11\pi}{6}$$

$$\frac{-25\pi}{6}$$ , $$\frac{7\pi}{6}$$

Radians, Degrees, and Co-terminal angles

Authored by Duane Williams

Mathematics

9th - 12th Grade

CCSS covered

Used 6+ times

Radians, Degrees, and Co-terminal angles

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36 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is 5π/6 radians in degrees?

180

150

360

120

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is 7π/4 radians in degrees?

300

135

315

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is 360 degrees in radians?

2π/3

5π/4

2π

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is 150 degrees in radians?

5π/6

7π/6

5π/4

π/6

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is 45 degrees in radians?

π/2

π/6

π/4

3π/4

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is 60 degrees in radians?

2π/3

π/3

4π/3

π/6

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is 120 degrees in radians?

2π/3

π/3

5π/3

4π/3

Tags

CCSS.HSF.TF.A.2

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Radians, Degrees, and Co-terminal angles

What is 5π/6 radians in degrees?

What is 7π/4 radians in degrees?

What is 360 degrees in radians?

What is 150 degrees in radians?

What is 45 degrees in radians?

What is 60 degrees in radians?

What is 120 degrees in radians?

What is 2π/3 radians in degrees?

What is 11π/6 radians in degrees?

What is π/3 radians in degrees?

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