If a wire is bent into the shape of a square, then the area enclosed by the square is 81cm2. When the same wire is bent into a semi-circular shape, then the area enclosed by the semi circle will be
A
81cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
44cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
77cm2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
154cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C77cm2 Let the side of the square be a cm.
Now, area of square=a2
⇒81=a2⇒a=9cm
Now, length of wire=4×a
=4×9
=36cm
Perimeter of semicircular wire=πr+2r
Also, perimeter of Semicircular wire=Length of wire