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use dimensional analysis to determine which of the following expressions gives the area of a circle: is it qrr2 or 2ttr? explain.

Sagot :

The dimensional analysis cannot determine whether the area of a circle is πr2 or 2πr2 because the constant 2 is dimensionless.

Dimensional Analysis :

Dimensional analysis is used to measure objects' dimensions and forms. It aids in our mathematical knowledge of object nature. Along with lengths and angles, it also includes geometrical traits like flatness and straightness. Similarly, only if two physical quantities have the same dimensions can they be equal. Dimensional analysis is the study of the relationship between physical quantities using dimensions and units of measurement. Because it maintains the units' consistency, dimensional analysis is crucial for facilitating accurate mathematical computations.

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