Question

If the perimeter of a circle is half to that of a square , then the ratio of the area of the circle to the area of the square is
(a)22:7
(b)11:7
(c)7:11
(d)7:22

Answer 1

Answer:

let the side of the square is x cm

so perimeter of the square is 4x cm

area of the square is x^2 sq cm

so perimeter of the circle is 4x/2 cm=2x cm

if the radius of the circle is r cm

then,2πr=2x

then, r=x/π

so area of the circle is π.r^2sq cm

=π.x^2/π^2 sq cm

=x^2/π sq cm

area of the circle : are of the square

=x^2/π : x^2

=1/π : 1

=7/22 : 1

=7 : 22

so (d) is the right answer

Answer 2

Answer:

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Step-by-step explanation:

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