Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Find the area of the sector of a circle of radius 7 cm with a central angle of 90°.

Options:

38.50 cm2

35 cm2

20.67 cm2

28 cm2

Correct Answer:

38.50 cm2

Explanation:

We know that ,

Area of sector of circle = π × r² × \(\frac{ θ }{360º}\)

According to question ,

θ = 90º and r = 7 cm

Area of sector of circle = π × 7² × \(\frac{ 90º }{360º}\)

= \(\frac{22}{7}\) × 7² × \(\frac{ 1 }{4}\)

= 22 × 7 × \(\frac{ 1 }{4}\)

= 38.5 cm²