If arc length is (16) cm and sector area is (64) square cm, what is the radius?

Question

Answer and explanation

Correct answer: (8) cm

Sector area is ( \frac{1}{2}rs ), so (64=\frac{1}{2}\times r\times16) gives (r=8). When arc length is given, ( \frac{1}{2}rs ) is very useful.

What is the correct answer to this question?

(8) cm

Why is this the correct answer?

Sector area is ( \frac{1}{2}rs ), so (64=\frac{1}{2}\times r\times16) gives (r=8). When arc length is given, ( \frac{1}{2}rs ) is very useful.

Which subject and chapter does this question cover?

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