Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The measure of the central angle of a sector of a circle of radius 30 cm, is 210°. What is the area (in cm2) of the given sector? (Take $π =\frac{22}{7}$)

Options:

1650

1645

1649

1647

Correct Answer:

1650

Explanation:

The measure of the central angle of a sector of a circle = 210°

The radius of the circle = 30cm

Area of the sector = πr2 × \(\frac{ θ }{360}\)

Area of the sector = \(\frac{22}{7}\) × 30 × 30 × \(\frac{ 210 }{360}\) =  1650 cm2