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Class 12 Mathematics Trigonometric Functions AnglesExpertLevel 68

If the arc length is \(15\pi\) cm and the central angle is \(225^\circ\) what is the radius of the circle?

Answer and explanation

Correct answer: (12) cm

\(225^\circ=\frac{5\pi}{4}\) radians. \(r=\frac{s}{\theta}=\frac{15\pi}{5\pi/4}=12\) cm.

Tags

trigonometric-functionsarc-lengthradius

Frequently asked questions

What is the correct answer to this question?

(12) cm

Why is this the correct answer?

\(225^\circ=\frac{5\pi}{4}\) radians. \(r=\frac{s}{\theta}=\frac{15\pi}{5\pi/4}=12\) cm.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.

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