Circles and conic sections

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which degree is equivalent to $\frac{\pi}{4}$ ?

$210\degree$

$45\degree$

$150\degree$

$60\degree$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert $\frac{3\pi}{10}$ radians into degrees

54 degrees

169.6 degrees

2.96 degrees

62 degrees

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

**What is 2π/3 radians in degrees?

150

120

180

FILL IN THE BLANKS QUESTION

1 min • 5 pts

What is 2π/3 radians in degrees?

(a)

MULTIPLE SELECT QUESTION

1 min • 1 pt

Identify the radian and degree measure at D.

π/3

60^o

π/6

30^o

π/7

MATH RESPONSE QUESTION

2 mins • 1 pt

What is 3π/4 radians in degrees?

$135$

Mathematical Equivalence

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

convert $\frac{10\pi}{9}$ rad into degrees

$200\degree$

$190\degree$

$230\degree$

$245\degree$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent radian measure of 230 degrees?

$\frac{5\pi}{18}$

$-\frac{5\pi}{18}$

$\frac{23\pi}{18}$

$-\frac{23\pi}{18}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radian-measure angle equivalent to $210\degree$
?

$\frac{7\pi}{6}$ radians, or about 3.67 radians.

$\frac{5\pi}{6}$ radians, or about 2.62 radians.

$\frac{4\pi}{3}$ radians, or about 4.19 radians.

$\frac{2\pi}{3}$ radians, or about 2.09 radians.

Answer explanation

Mental math style: $210\degree\ =180\degree+30\degree$ , and $180\degree=\pi$ radians, $30\degree=\frac{\pi}{6}$ radians, so $210\degree=\left(\pi+\frac{\pi}{6}\right)=\frac{7\pi}{6}$ radians. Using the proportion $\frac{\pi}{180}=\frac{\theta R}{210\degree}$ , $\theta R=\frac{210\cdot\pi}{180}=\frac{7\pi}{6}$ radians.

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Circles and conic sections

Which degree is equivalent to π4\frac{\pi}{4}4π​ ?

Convert 3π10\frac{3\pi}{10}103π​ radians into degrees

**What is 2π/3 radians in degrees?

What is 2π/3 radians in degrees? (a)

Identify the radian and degree measure at D.

What is 3π/4 radians in degrees?

convert 10π9\frac{10\pi}{9}910π​ rad into degrees

Convert 3π/4 to degrees

What is the equivalent radian measure of 230 degrees?

What is the radian-measure angle equivalent to 210°210\degree210° ?

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Which degree is equivalent to $\frac{\pi}{4}$ ?

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(a)

convert $\frac{10\pi}{9}$ rad into degrees

What is the radian-measure angle equivalent to $210\degree$
?