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.

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

You need to know the following knowledge to solve this word math problem:

planimetry

Grade of the word problem

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
Coat of arms
The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo
Rectangle area calculation
Calculate the area of the rectangle if its circumference is 24 cm and one side is 7.2 cm long.
Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side. Construct a square such that two of its vertices lie on one semicircle, the other two vertices li
Rectangle circumference area
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long.
Triangle rotation volume
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body.
Diamond - simple
Calculate the circumference and area of the diamond if the side is 5 cm long and the height is 3 cm long.