Math heart

A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference.

Correct answer:

S =  44.635 cm²
o =  25.708 cm

Step-by-step explanation:

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

$o=2\cdot a+2\pi \cdot r=2\cdot 5+2\cdot 3.1416\cdot 2.5=25.708\text{cm}$

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