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Remember that as the diameter of a spherical cell increases, the surface area increases as the square of the diameter, and the volume increases as the cube of the diameter, so volume increases much faster than surface area. The same principle applies for other shapes than spherical cells, but the math is more complicated.
The circumference of a circle increases with an increase in the radius as it is directly proportional its radius.
Arterioles
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.
If you double the diameter of a circle, the area will quadruple (be 4x greater).The area of the circle increases exponentially with the diameter, or more precisely with the radius, which is 1/2 the diameter. A = (pi)r2Doubling the diameter of a circle will quadruple the area (22 =4).This is easily seen in pizzas, where the dough needed for a 16-inch pizza can be used instead to make 4 pizzas with a diameter of 8 inches.---The equation to find the area of a circle is a=(pi)r2. If the diameter is doubled, then the radius is also doubled, because the radius is just half the diameter.The area of a circle once its radius (and therefore diameter) has been doubled can be expressed as follows: a'=(pi)(2r)2, which simplifies to a'=(pi)(4r2).To find the proportion of a' and a, we just divide the second by the first. This gets us[(pi)(4r2)]/[(pi)(r2)]=4