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 7 cm and central angle 90°?

Options:

38.5 cm²

58.5 cm²

48.5 cm²

36.5 cm²

Correct Answer:

38.5 cm²

Explanation:

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

= \(\frac{90}{360}\) × \(\frac{22}{7}\) × 7 × 7

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

= 38.5 cm²