If a triangle of a base $6 cm$ has the same area as that of a circle of radius $6 cm$, then the altitude of the triangle is

Use the area of a circle formula, pi times radius squared, to get an area of pi times 6 squared, which is 36 pi square centimeters. Set this equal to the triangle area formula, half of base times altitude, to write 0.5 times 6 times altitude equals 36 pi. Solving this equation gives 3 times altitude equals 36 pi, so the altitude is 12 pi centimeters.

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