In a circle of radius (6) cm the central angle is ( \frac{\pi}{3} ) radians. What will be the area of the sector?
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Answer and explanation
Correct answer: (6\pi) square cm
The sector area is ( \frac{1}{2}r^2\theta ) so ( \frac{1}{2}\times36\times\frac{\pi}{3}=6\pi ). Apply the formula directly when the angle is in radians.
Frequently asked questions
What is the correct answer to this question?
(6\pi) square cm
Why is this the correct answer?
The sector area is ( \frac{1}{2}r^2\theta ) so ( \frac{1}{2}\times36\times\frac{\pi}{3}=6\pi ). Apply the formula directly when the angle is in radians.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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