Math heart

Stylized heart shape created from a square with side 5 cm and two semicircles over his sides. Calculate the content area and its circumference.

Correct result:

S =  44.635 cm²
o =  25.708 cm

Solution:

$$\begin{gathered} a=5\text{ cm } \\ r=a\mathrm{/}2=5\mathrm{/}2={\displaystyle \frac{5}{2}}=2{\displaystyle \frac{1}{2}}=2.5\text{ cm } \\ S=a^2+\pi \cdot r^2=5^2+3.1416\cdot 2.5^2=44.635{\text{cm}}^2 \end{gathered}$$

$o=2\cdot a+2\pi \cdot r=25.708\text{ cm}$

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