Question 120
If a wire is bent into the shape of a square, then the area of the. square so formed is 81cm2. When the wire is rebent into a semicircular shape, then the area, (in cm2) of the semicircle will be
Solution
Area of square of side 'a' = 81 i.e. a = 9cm
length of this wire will be = 4a = 36cm
perimeter of square = perimeter of semi-circle
36 = πr + 2r
r = 7cm
Area of semi-circle = $$\frac{1}{2}\pi r^{2}$$ = $$\frac{1}{2}\pi 7^{2}$$ = 77
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
