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 7 cm and central angle 270°?

Options:

115.5 cm2

215.5 cm2

105.5 cm2

125.5 cm2

Correct Answer:

115.5 cm2

Explanation:

Area of sector = \(\frac{θ°}{360°}\) \(\pi \) r2

                      = \(\frac{270°}{360°}\) × \(\frac{22}{7}\) × 7 × 7

                      = \(\frac{3}{4}\) × \(\frac{22}{7}\) × 7 × 7

                      = 115.5 cm2