Considering the area of the circles, the area of the blue section is of [tex]50\pi[/tex] cm².
What is the area of a circle?
The area of a circle of radius r is given as follows:
[tex]A = \pi r^2[/tex].
The area of the blue section is given by the area of the larger circle, of radius 10 cm, subtracted by the area of the two smaller circles, each with radius of 5 cm, hence:
[tex]A_G = \pi 10^2 = 100\pi[/tex]
[tex]A_S = 2 \times \pi \times 5^2 = 50\pi[/tex]
[tex]A_B = A_G - A_S = 100\pi - 50\pi = 50\pi[/tex]
The area of the blue section is of [tex]50\pi[/tex] cm².
More can be learned about the area of a circle at https://brainly.com/question/17326298
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