Q:

How do you convert diameter to square inches?

A:

Quick Answer

To determine the area of a circle from its diameter, divide the diameter by two, square it and multiply by π. The formula for calculating the area of a circle is: A = πr2, where r is the radius of the circle.

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Full Answer

Mathematician Archimedes (287-212 B.C.E) was first to calculate the area of a circle. He recognized that the area of a hexagon inscribed inside a circle was a gross approximation of the area of the circle. The area of a hexagon is calculated by breaking it into six equilateral triangles where the base of the triangle is the length of one side of the hexagon and the other two legs of the triangle are equal to the radius of the circle.

Archimedes realized that as the number of sides on a polygon approaches infinity, the area is equal to the square of the radius of the circle times a constant, to which he assigned the Greek letter π.

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Related Questions

  • Q:

    How do you calculate the diameter of a circle?

    A:

    One can calculate the diameter of a circle mathematically if the circumference or the area of the circle is known. If the location of the center of the circle is known, then the circle's diameter can be measured with a ruler passing through the center.

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  • Q:

    Why is pi important?

    A:

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  • Q:

    What is the total area of 12 mm x 10 mm?

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    How do you figure out square footage?

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