If (r=9) cm and the sector area is ( \frac{81\pi}{8} ) square cm, what is the central angle in degrees?
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Answer and explanation
Correct answer: (45^\circ)
From ( \frac{81\pi}{8}=\frac{1}{2}\times81\times\theta ), ( \theta=\frac{\pi}{4}=45^\circ ). The angle from the sector area formula is in radians.
Frequently asked questions
What is the correct answer to this question?
(45^\circ)
Why is this the correct answer?
From ( \frac{81\pi}{8}=\frac{1}{2}\times81\times\theta ), ( \theta=\frac{\pi}{4}=45^\circ ). The angle from the sector area formula 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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