What is the area of a circle whose radius is 16 cm?

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What is the area of a circle whose radius is 16 cm?

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Answer 1 · 2018-05-03T16:57:10

around 804.5714286 $c m^{2}$ $cm^2$ which is exactly 256 $π$ $pi$

Explanation:

easily using the formula :
A = $π \cdot r^{2}$ $pi*r^2$

take $π \approx \frac{22}{7}$ $pi ~~ 22/7$

A = $π \cdot r^{2}$ $pi*r^2$
= $\frac{22}{7} \cdot 16^{2} c m^{2}$ $22/7 * 16^2cm^2$
= $\frac{22}{7} \cdot 256 c m^{2}$ $22/7*256cm^2$
=804.5714286 $c m^{2}$ $cm^2$

Extra ~~~
why does the formula works ?
take a circle, cut them into pieces just like cutting a cake,
the more you cut the more fan shape you'll get and the fan shape is likely to be a triangle, take all the triangles and put them together to form a big triangle, the height of the triangle is the radius of the circle, the base of the triangle is the perimeter of the circle which is 2 $π$ $pi$ r,
area of the triangle is $\approx$ $~~$ the area of the circle
height x base / 2 = $r \cdot 2 π \frac{r}{2}$ $r*2pi r /2$ = $π r^{2}$ $pi r^2$ = A

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What is the area of a circle whose radius is 16 cm?

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