Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Find the length of the arc if the angle at the centre of the circle of radius 7 units is 60o

Options:

4 units

11/4 units

22/3 units

21 units

Correct Answer:

22/3 units

Explanation:

Formula Used

Length of arc = \(\frac{\theta }{360}\) x 2\(\pi \)r

Solution

Length of arc = \(\frac{60}{360}\) x 2 x \(\frac{22}{7}\) x 7 = \(\frac{22}{3}\)

Therefore, the length of the arc is \(\frac{22}{3}\) units.