This is because the area of a circle increases with the square of the radius.

这是因为圆的面积随着半径的平方而增大。

The area of a circle is " pi r squared" .

圆的面积是“pi r square” 。

The area of a circle is Pi R squared, where R is the radius and Pi is the ratio of the circle circumference to its diameter.

圆的面积是PI R的平方，其中R是半径，PI是圆周与直径的比值。

That proved undaunting, however, to Dr. Goodwin, who believed it wasn't " impossible" so much as " obstructed" by inherently incorrect, albeit long-accepted formula for calculating the area of a circle.

然而，这对古德温博士来说并不令人畏惧， 他认为这并非“不可能” ，而是“阻碍”了本质上不正确的计算圆面积的公式， 尽管该公式已被长期接受。