Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The area of the sector of a circle is 128$cm^{2}$. If the length of the arc of that sector is 64 cm, then find the radius of the circle.

Options:

4 cm

8 cm

2 cm

16 cm

Correct Answer:

4 cm

Explanation:

We know that,

Area of the arc = \(\frac{L × r}{2}\)

We have,

Area of the sector of a circle = 128 cm2

Length of the arc = 64 cm = L

Area = 128 = \(\frac{64 × r}{2}\)

= r = 4 cm