A sector has radius (7) cm and perimeter (22) cm. What is the central angle in radians?
Answer and explanation
Correct answer: (\frac{8}{7})
Sector perimeter is (2r+r\theta), so (14+7\theta=22). This gives (\theta=\frac{8}{7}).
Frequently asked questions
What is the correct answer to this question?
(\frac{8}{7})
Why is this the correct answer?
Sector perimeter is (2r+r\theta), so (14+7\theta=22). This gives (\theta=\frac{8}{7}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.