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The diameter of a circle is two times it’s radius. What equation shows another way to represent the area of a circle ?

Mathematics 09/01/2020 01:00 AM answersmine

Answered @ 09/01/2020 01:00 AM By answersmine

Area of the circle can be written as:

Area= \pi  r^{2}

Diameter is twice the radius, which means

Diameter = d = 2r
or
r = d/2

Using this value of r, we can write the equation for Area as:

Area= \pi ( \frac{d}{2})^{2}   \\  \\ 
Area= \frac{ \pi d^{2} }{4}

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