Radians (Leaving Cert Mathematics): Quizzes

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Radians
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12 questions from this quiz

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What is a radian?

Angle when arc length equals radius

For 1 radian, what is the relationship between arc length ss and radius rr?

s=rs = r

How many radians equal 360∘360^\circ?

2π2\pi radians

How many degrees equal π\pi radians?

180∘180^\circ

What is the formula to convert degrees to radians?

Degrees ×π180\times \frac{\pi}{180}

What is the formula to convert radians to degrees?

Radians ×180π\times \frac{180}{\pi}

What is 45∘45^\circ in radians?

π4\frac{\pi}{4}

What is 90∘90^\circ in radians?

π2\frac{\pi}{2}

What is 60∘60^\circ in radians?

π3\frac{\pi}{3}

What is 270∘270^\circ in radians?

3π2\frac{3\pi}{2}

In which field are radians particularly useful for derivatives and integrals?

Calculus

What physical quantities are measured in radians?

Angular velocity & displacement

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