What will be the area of the semi - circ

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What will be the area of the semi - circle of perimeter 3.6 meters?

Options:

1.54 m²

1.76 m²

1.10 m²

0.77 m²

Correct Answer:

0.77 m²

Explanation:

Perimeter of a semi - circle = $\pi r$ + 2r = 3.6

(using $\pi$ = 3.14)

r( $\pi$ + 2) = 3.6 ⇒5.14 r = 3.6

r = 0.7 m

Area of the semi - circle = $\frac{\pi r^2}{2}$ = $\frac{3.14.0.7.0.7}{2}$ = 0.77 m²