# What is the area of a circle with radius of 10 cm?

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Dec 23, 2015

314.16 $c {m}^{2}$

#### Explanation:

The formula for the area of a circle is given by:
Area = $\pi$${r}^{2}$ , r = radius

Therefore, you only need to substitute radius into the equation and calculate the area using calculator.

Area = $\pi$${r}^{2}$, r = 10 cm
Area = $\pi$${10}^{2}$
= 314.16 $c {m}^{2}$

However, sometimes the question will give you the $\pi$ as 3.142 or $\frac{22}{7}$, so your answer might varies a bit with the actual calculation. Let's proof it for you! :D

Area = 3.142 x ${10}^{2}$
= 3.142 x 100
= 314.2 $c {m}^{2}$

Area = $\frac{22}{7}$ x ${10}^{2}$
= $\frac{22}{7}$ x 100
= $\frac{2200}{7}$ [You can leave your answer in this form]
= 314$\frac{2}{7}$ $c {m}^{2}$

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