Difference between revisions of "Area bounded by circle"

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Suppose we take for granted (as we often do) that the circumference of a circle of radius [math]r[/math] is $2\pi r$. Can we use this fact to show that the area bounded by a circle is $\pi r^2$?
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Suppose we take for granted (as we often do) that the circumference of a circle of radius <math>r</math> is <math>2\pi r</math>. Can we use this fact to show that the area bounded by a circle is <math>\pi r^2</math>

Latest revision as of 14:23, 19 April 2026

Suppose we take for granted (as we often do) that the circumference of a circle of radius [math]\displaystyle{ r }[/math] is [math]\displaystyle{ 2\pi r }[/math]. Can we use this fact to show that the area bounded by a circle is [math]\displaystyle{ \pi r^2 }[/math]