Question

the circumference of a circle is 50 cm . what is the side of a square inscribed in the circle​

Answer 1

Given,

The circumference of the circle = 50 cm

To find,

Length of the side of the square which is inscribed into that circle.

Solution,

We can easily solve this mathematical problem by using the following mathematical process.

Now, for an inscribed square in a circle, the diagonal of the square has the equal length as of the diameter of the circle.

Let, the diameter of the given circle = d cm

Now, according to the data mentioned in the question

πd = 50

d = 50 × 7/22

d = 15.9 (approx)

Now,

Diagonal of a square = ✓2 × Side of the square

15.9 = ✓2×Side of the square

Side of the square = 15.9/✓2

Side of the square = 11.24

Hence, the Length of the each side of the square is approximately 11.24 centimetres.

Answer 2

Step-by-step explanation:

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