A square with a side of 6 cm is given. On its sides, as on diameters, four semicircles are built, located outside
| May 13, 2021 | education
A square with a side of 6 cm is given. On its sides, as on diameters, four semicircles are built, located outside this square. calculate the sum of the lengths of all semicircles.
Since the diameter of the circle is equal to the length of the side of the square, the radius of the constructed circles is: R = 6/2 = 3 cm.
Determine the length of the circle.
C1 = 2 * π * R = 2 * π * 3 = 6 * π see.
Then the length of half of the circle is equal to: C2 = 6 * π / 2 = 3 * π cm.
The sum of the lengths of the four semicircles is: C = 4 * C2 = 4 * 3 * π = 12 * π cm.
Answer: The sum of the lengths of the semicircles is 12 * π cm.
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