What is the area of a sector of a circle

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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 21 cm and central angle 270°?

Options:

1029.5 cm²

1239.5 cm²

1139.5 cm²

1039.5 cm²

Correct Answer:

1039.5 cm²

Explanation:

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

= \(\frac{270°}{360°}\) × \(\frac{22}{7}\) × 21 × 21

= \(\frac{3}{4}\) × \(\frac{22}{7}\) × 21 × 21

= 1039.5 cm²