Question

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is
(a)50√2 cm
(b)100/π cm
(c)50√2/π cm
(d)100√2/π cm

Answer 1

Answer:

The side of a square inscribed in the circle is (50√2)/π cm.

Among the given options option (c) (50√2) /π cm is the correct answer.

Step-by-step explanation:

Given :  

Let the side of a square inscribed in the circle be ‘a’.

Circumference of a circle ,C = 100 cm

Circumference of a circle = πd

100 = πd

Diameter of a circle ,d = 100/π m

Diagonal of a square = diameter of a circle

√2a = 100/π

[Diagonal of a square = √2a]

√2a = 100/π

a = 100/π × 1/√2

a = 100/√2π

a = (100 ×√2)/ (√2π× √2)

[By rationalising the denominator]

a = 100√2/(2π)

a = (50√2)/π cm

Side of a square = (50√2)/π cm

Hence, the side of a square inscribed in the circle is (50√2)/π cm.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Answer:

easy my friend make me brainlist