Challenge!122. If a wire is bent into the shape of a square, the area

1.	Challenge!122. If a wire is bent into the shape of a square, the area of the square is 49 cm2. When the wire is bentinto a semicircular shape, find the radius of the semicircle(Take ĎsâŚ
Answer» Area of square = 49 cm^2Let side of square be sLet r is radius of semicircle Then,ss = 49s = 7 As per given condition Perimeter of Square = Perimeter of semicircle Therefore,4s = pir + 2r47 = 22/7r + 2r28 = (22/7 + 2)r282 = (22 + 14)r56/36 = rr = 14/9 = 1.5 cm

Challenge!122. If a wire is bent into the shape of a square, the area of the square is 49 cm2. When the wire is bentinto a semicircular shape, find the radius of the semicircle(Take ĎsâŚ

Answer»

Area of square = 49 cm^2Let side of square be sLet r is radius of semicircle

Then,s*s = 49s = 7

As per given condition Perimeter of Square = Perimeter of semicircle

Therefore,4*s = pi*r + 2r4*7 = 22/7*r + 2r28 = (22/7 + 2)r28*2 = (22 + 14)r56/36 = rr = 14/9 = 1.5 cm