2000005707
Level:
A
Which of the angles takes the same position on the unit circle as the angle \( \beta = \frac{3}{4}\pi\)?
\(\frac{19}{4}\pi\)
\(\frac{23}{4}\pi\)
\(\frac{21}{4}\pi\)
\(\frac{7}{4}\pi\)
Angles, arcs and sectors
2000005706
Level:
A
Find a coterminal angle to \(-\pi\) with radian measure between \(0\) and \(2\pi\).
\(\pi\)
\(0\)
\(\frac{\pi}{2}\)
\(\frac{3}{2}\pi\)
2000005705
Level:
A
Reduce the angle \(1180^{\circ}\) to a coterminal angle with the measure between \(0^{\circ}\) and \(360^{\circ}\).
\(100^{\circ}\)
\(260^{\circ}\)
\(60^{\circ}\)
\(160^{\circ}\)
2000005704
Level:
A
Express the angle \(210^{\circ}\) in radian measure.
\(\frac{7}{6}\pi\)
\(\frac{5}{6}\pi\)
\(\frac{7}{5}\pi\)
\(\frac{4}{3}\pi\)
2000005703
Level:
A
Express the angle \(\frac{12}{5}\pi\) in degrees.
\( 432^{\circ}\)
\( 342^{\circ}\)
\( 452^{\circ}\)
\( 532^{\circ}\)
2100005702
Level:
A
Which of the pictures shows the angle \(\alpha = 2.4\,\mathrm{rad}\) marked in the unit circle?
2100005701
Level:
A
Which of the pictures shows the angle, that takes the same position on the unit circle as the angle \(\alpha = \frac{11}{3}\pi\)?
2000004807
Level:
A
Determine the angle that the minute clock-hand covers in \(20\) minutes.
\( 120^\circ\)
\( 60^\circ\)
\( 150^\circ\)
\( 90^\circ\)
2000004806
Level:
A
The hands of a clock show the time of \(12\) hours and \(30\) minutes. What is the measure of the acute angle that they will make \(3\) hours later?
\(75^\circ\)
\(60^\circ\)
\(120^\circ\)
\(45^\circ\)
2000004805
Level:
A
What is the distance traveled in \(120\) minutes by the tip of a minute clock-hand, that is \(7\,\mathrm{cm}\) long?
\(28\pi\,\mathrm{cm}\)
\(14\pi\,\mathrm{cm}\)
\(\frac{14}{3}\pi\,\mathrm{cm}\)
\(\frac{28}{3}\pi\,\mathrm{cm}\)