A paper is in the form of a rectangle ABCD where AB = 22 cm and BC = 14 cm. A se

Question

A paper is in the form of a rectangle ABCD where AB = 22 cm and BC = 14 cm. A semicircle portion with BC as diameter is cut off. Find the area of the remaining paper in

c m^{2}

Options:

A . 221

B . 210

C . 231

D . 240

Answer: Option C
:
C

A Paper Is In The Form Of A Rectangle ABCD Where AB = 22 Cm ...

Area of rectangle =

22 \times 14 = 308 c m^{2}

Area of semicircle
=

\frac{1}{2} \times \frac{22}{7} \times (7)^{2} = 77 c m^{2}

Required area = [Area of rectangle -Area of semicircle]
= 308 – 77 =

231 c m^{2}

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