3.141592654 rounded by the calculator
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You take the circumference of a circle and divide it by the diameter.
The most accurate calculation of pi is currently estimated to be around 31.4 trillion decimal places. This calculation was achieved using supercomputers and advanced mathematical algorithms. However, for most practical purposes, using pi to just a few decimal places (3.14159) is sufficient.
The circumference of a circle when divided by its diameter is the value of pi which is an irrational number that can't be expressed as an exact fraction.
Archemedes
The area of the full circle is (pi R2) = (25 pi) square inches. The full circumference is (2 pi R) = (10 pi) inches. An arc length of 10 is [ 10/(10 pi) ] = ( 1 / pi ) of the full circle. So the area of the sector is (full area / pi) = (25 pi) / pi = 25 square inches