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Class 12 Mathematics Trigonometric Functions AnglesExpertLevel 68

A sector has perimeter (32) cm and arc length (12) cm. What is its central angle in radians?

Answer and explanation

Correct answer: \(\frac{6}{5}\)

Perimeter is (2r+s) so \(2r+12=32\) gives \(r=10\). Now \(\theta=\frac{s}{r}=\frac{6}{5}\).

Tags

trigonometric-functionssector-perimetercentral-angle

Frequently asked questions

What is the correct answer to this question?

\(\frac{6}{5}\)

Why is this the correct answer?

Perimeter is (2r+s) so \(2r+12=32\) gives \(r=10\). Now \(\theta=\frac{s}{r}=\frac{6}{5}\).

Which subject and chapter does this question cover?

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

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