Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What is the area of a sector of a circle of radius 14 cm and central angle 45° ? (Take π = $\frac{22}{7}$)

Options:

70 cm2

77 cm2

11 cm2

67 cm2

Correct Answer:

77 cm2

Explanation:

We already know that,

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

We have,

Radius of sector (r) = 14 cm

Central angle (θ) = 45° 

Area of sector = \(\frac{45}{360}\) × \(\frac{22}{7}\) × 14 × 14 = 77 cm2