Angles, arcs and sectors

1003023104

Level:

Select such a pair of numbers that represents measures of two coterminal angles. (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)

\frac{15}{2} π; - 8.5 π

- 21.5 π; - \frac{9}{2} π

\frac{19}{2} π; 20.5 π

\frac{35}{2} π; - \frac{35}{2} π

1003023105

Level:

Select such a pair of numbers that represents measures of two coterminal angles. (Two angles are coterminal if when they are drawn in the standard position their terminal sides merge.)

- 21.5 π; - 41.5 π

- 21.5 π; 21.5 π

- 21.5 π; 41.5 π

21.5 π; - 41.5 π

1003023108

Level:

Select a pair of angles

α

β

, that take the same position on the unit circle?

α = \frac{2}{3} π; β = - \frac{4}{3} π

α = \frac{6}{5} π; β = \frac{4}{5} π

α = - \frac{7}{6} π; β = - \frac{32}{6} π

α = - \frac{2}{3} π; β = \frac{31}{3} π

1003023109

Level:

Select such a pair of angles

α

β

that do not take the same position on the unit circle.

α = 129^{\circ}; β = 859^{\circ}

α = 575^{\circ}; β = 2015^{\circ}

α = \frac{2}{3} π; β = \frac{14}{3} π

α = \frac{5}{4} π; β = \frac{29}{4} π

1003023110

Level:

Which of the given sets contains measures of three angles that take the same position as the angle

φ = 18^{\circ}

on the unit circle?

{378^{\circ}; - 342^{\circ}; - 1422^{\circ}}

{1098^{\circ}; 1818^{\circ}; - 1052^{\circ}}

{1098^{\circ}; - 1062^{\circ}; - 1812^{\circ}}

{378^{\circ}; 1092^{\circ}; - 1062^{\circ}}

1003023111

Level:

Select the set that contains measures of two angles that do not take the same position as the angle

α = \frac{3}{10} π

radians on the unit circle.

{\frac{37}{10} π; - \frac{37}{10} π}

{\frac{63}{10} π; - \frac{103}{10} π}

{- \frac{17}{10} π; - \frac{77}{10} π}

{- \frac{37}{10} π; \frac{23}{10} π}

1003023201

Level:

Subtract the angles

α = 1285^{\circ} 35^{'}

β = 985^{\circ} 59^{'}

and round the result to the nearest degree.

300^{\circ}

299^{\circ}

301^{\circ}

298^{\circ}

1003023202

Level:

Let

α = 2.7 rad

and

β = 54^{\circ}

. The radian measure of the angle

α - β

(rounded to two decimal places) is:

1.76 rad

- 1.76 rad

3.65 rad

- 3.65 rad

1003023203

Level:

Let

α = 4.25 rad

and

β = 135^{\circ} 15^{'}

. The degree measure of the angle

α - β

(rounded to the nearest minute) is:

108^{\circ} 15^{'}

135^{\circ} 18^{'}

- 135^{\circ} 18^{'}

405^{\circ} 48^{'}

1003023204

Level:

Let

α = 200^{\circ} 15^{'}

and

β = \frac{π}{5}

. The degree measure of the angle

α + β

is:

236^{\circ} 15^{'}

- 236^{\circ} 15^{'}

201^{\circ} 15^{'}

- 201^{\circ} 15^{'}

Angles, arcs and sectors

1003023104

1003023105

1003023108

1003023109

1003023110

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