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If (r=8) cm and (\theta=\frac{3\pi}{4}), what is the perimeter of the corresponding sector?

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Answer and explanation

Correct answer: (16+6\pi) cm

Arc (s=r\theta=8\times\frac{3\pi}{4}=6\pi), so perimeter is (2r+s=16+6\pi). In exams, do not forget to add two radii in sector perimeter.

Tags

trigonometry angles sector perimeter hard class11

Frequently asked questions

What is the correct answer to this question?

(16+6\pi) cm

Why is this the correct answer?

Arc (s=r\theta=8\times\frac{3\pi}{4}=6\pi), so perimeter is (2r+s=16+6\pi). In exams, do not forget to add two radii in sector perimeter.

Which subject and chapter does this question cover?

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

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