CBSE Class 10 Answered
Find area of shaded region
![question image](http://images.topperlearning.com/topper/new-ate/820574IMG20190916202607.jpg)
Asked by tejutanu2004 | 16 Sep, 2019, 20:27: PM
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](https://images.topperlearning.com/topper/tinymce/cache/f41446c71dfc47b9843911ce84c9e953.png)
Answered by Renu Varma | 18 Sep, 2019, 09:50: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by Vidushi412 | 11 Aug, 2020, 22:20: PM
CBSE 10 - Maths
Asked by ssai6651 | 08 Jan, 2020, 07:39: AM
CBSE 10 - Maths
Asked by tejutanu2004 | 16 Sep, 2019, 20:27: PM
CBSE 10 - Maths
Asked by shailesh.solanki | 18 Mar, 2018, 19:29: PM
CBSE 10 - Maths
Asked by Topperlearning User | 27 Jul, 2017, 14:33: PM
CBSE 10 - Maths
Asked by Topperlearning User | 27 Jul, 2017, 14:33: PM
CBSE 10 - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 10 - Maths
Asked by Topperlearning User | 27 Jul, 2017, 14:33: PM
CBSE 10 - Maths
Asked by Topperlearning User | 27 Jul, 2017, 14:28: PM
CBSE 10 - Maths
Asked by Topperlearning User | 27 Jul, 2017, 14:33: PM