Question

22. If a wire is bent into the shape of a square, the
area of the square is 49 cm". When the wire is
bent into a semi-circular shape, find the radius
of the semi-circle


​

Answer 1

Answer:

Area of square = 49 cm

a^2 = 49

a= 7 cm

Side of square = 7 cm

Perimeter of square = Perimeter of semi circle

Perimeter of semi circle = 4* 7 = 28 cm

pi * r + 2r = 28

=> r (2+ pi) = 28

=> r (2+22/7) = 28

=> r (36/7) = 28

=> r = 28 * 7/36

=> r = 7*7/9

=> r = 49/9 cm

Radius of semi circle = 49/9

= 5.44 cm

Answer 2

Answer:

Step-by-step explanation:Area of square = 49 cm

a^2 = 49

a= 7 cm

Side of square = 7 cm

Perimeter of square = Perimeter of semi circle

Perimeter of semi circle = 4* 7 = 28 cm

pi * r + 2r = 28

=> r (2+ pi) = 28

=> r (2+22/7) = 28

=> r (36/7) = 28

=> r = 28 * 7/36

=> r = 7*7/9

=> r = 49/9 cm

Radius of semi circle = 49/9

= 5.44 cm

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