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.

Result

S =  44.635 cm2
o =  25.708 cm

Solution:

a=5 cm r=a/2=5/2=52=2.5 cm  S=a2+π⋅ r2=52+3.1416⋅ 2.52≐44.635≐44.635 cm2a=5 \ \text{cm} \ \\ r=a/2=5/2=\dfrac{ 5 }{ 2 }=2.5 \ \text{cm} \ \\ \ \\ S=a^2+\pi \cdot \ r^2=5^2+3.1416 \cdot \ 2.5^2 \doteq 44.635 \doteq 44.635 \ \text{cm}^2
o=2⋅ a+2π⋅ r=25.708 cmo=2 \cdot \ a+2 \pi \cdot \ r=25.708 \ \text{cm}

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