We’re trying to show that even though circles and squares are different shapes, their areas can be the same. Here’s how we do it:

- A square’s area is the length of one side multiplied by itself (Area = Side * Side = A²).
- GSM means Grams per Square Meter. So, 1 gram equals 1 square meter.
- For circles, the area is π times the radius squared (Area = π * radius * radius).

**To prove the circle’s area is equal to the square’s area:**

- Start with the idea: 1 m² = πr² (this is about the circle’s area).
- Using a tool with a diameter (D) of 113 mm, the radius (r) is half of that: r = 56.5 mm = 0.0565 m.
- Put the radius value into the circle’s area formula: Area of Circle = πr² = 3.14 * (0.0565 m)² = 0.010023 m².
- Since 0.010023 m² equals 1 gram on a GSM scale, multiplying by 100 gives us 1 m². That proves the circle and square have the same area.

This means that if we measure a circular fabric and get a certain weight, multiplying it by 100 will give us its GSM. And this calculation is already done for us by the GSM scale!