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6.01 Angles and radian measure

Adaptive
Worksheet

Interactive practice questions

The arc of a circle, radius $13$13 cm, subtends an angle of $\theta$θ radians at the center of the circle, and measures $11.7$11.7 cm in length. Solve for $\theta$θ, the angle subtended at the center.

Write each line of working as an equation.

Medium
1min

A sector of a circle, radius $2$2cm, has an arc length of $3.9$3.9cm. Find the angle $\theta$θ formed at the center of the circle in radians, correct to two decimal places.

Medium
< 1min

A sector of a circle, radius $95$95mm, has an arc length of $159$159mm.

Medium
2min

Find, in radians, the angle of smallest positive measure that is coterminal with an angle of $\frac{9\pi}{4}$9π4.

Medium
1min
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Outcomes

F.TF.A.1

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

F.TF.A.2

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

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