Topics
Measurement
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India
Class XI

Length of Circular Arc & Area of a Sector (using radians)

Lesson
Practice

Interactive practice questions

The diagram shows a sector of a circle of radius $5$5 units, formed from an angle of size $2.3$2.3 radians.

Find the exact length of the arc.

Easy
1min

A sector of a circle of radius $27$27 cm is formed from an angle of size $\frac{2}{9}$29​ radians.

Find the exact length of the arc.

Easy
< 1min

A sector of a circle of radius $4$4 cm is formed from an angle of size $\frac{5\pi}{6}$5π6​ radians.

Find the length of the arc, rounded to two decimal places.

Easy
1min

A sector of a circle of diameter $19$19 units is formed from an angle of size $3.5$3.5 radians.

Find the length of the arc as a decimal.

Easy
1min
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Outcomes

11.SF.TF.1

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin^2 x + cos^2 x = 1, for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x + y) in terms of sin x, sin y, cos x and cos y. Deducing the identities like following: cot(x + or - y), sin x + sin y, cos x + cos y, sin x - sin y, cos x - cos y (see syllabus document)

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