Find area of shaded region

Asked by tejutanu2004 | 16th Sep, 2019, 08:27: PM

Expert Answer:

The figure contains a square of side 14 cm and one pair of opposite sides is surmounted by a semicircle of radius 7 cm
Area of the square = side2 = 142 = 196 cm2
Area of the shaded region inside a square = 1/4 x Area of square
therefore A r e a space o f space t h e space s h a d e d space r e g i o n space i n s i d e space a space s q u a r e equals 1 fourth cross times 196 equals 49 space c m squared
A r e a space o f space s e m i c i r c l e equals πr squared over 2 equals 22 over 7 cross times 1 half cross times 7 cross times 7 equals 77 c m squared
A r e a space o f space t h e space s h a d e d space r e g i o n space i n s i d e space a space s e m i c i r c l e equals 1 half cross times A r e a space o f space s e m i c i r c l e equals 77 over 2 c m squared
T h e r e space a r e space t w o space s e m i c i r c l e s comma space s o space c o m b i n i n g space t h e space s h a d e d space r e g i o n s space o f space t h e s e space 2 space s e m i c i r c l e s space g i v e space 1 space s e m i c i r c l e
T h e r e f o r e comma
A r e a space o f space t h e space s h a d e d space r e g i o n space equals space 77 plus 49 equals 126 space c m squared

Answered by Renu Varma | 18th Sep, 2019, 09:50: AM

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