Question

plz answer 43 question with steps compulsory

Answer 1

given circumference of circle = 100 cm
let diameter of circle be d
thus
πd = 100
d = 100/π cm
largest square inscribed in circle will have its diagonal of the length same as that of diametre
so let's say side of square be a
diagonal = √2a
diameter = diagonal
100/π = √2a
a = 50√2/π cm
thus option b is correct

Answer 2

let the radius of circle = r cm

circumference of circle = 2πr

= 100 = 2 . π . r

= 100/2π = r

= r = 50/π CM.

diameter = 2r = 100/π CM.

let the side of square = x cm

then by Pythagoras theorem ,

= AB2+BC2 = AC2. (diagonal of a square = diameter of circle).

= x2+x2 = (100/π)2

= 2x2 = 10000/π2

= x2 = 5000/π2

= x = 50√2/π CM.