If arc (s=22) cm and sector area (A=121) square cm, what is the central angle in radians?

Question

Answer and explanation

Correct answer: (2) radians

Using (A=\frac{1}{2}rs), (121=\frac{1}{2}r\cdot22), so (r=11) and ( \theta=\frac{s}{r}=2 ). When arc and area are given, find (r) first.

What is the correct answer to this question?

(2) radians

Why is this the correct answer?

Using (A=\frac{1}{2}rs), (121=\frac{1}{2}r\cdot22), so (r=11) and ( \theta=\frac{s}{r}=2 ). When arc and area are given, find (r) first.

Which subject and chapter does this question cover?

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