Question

Greek mathematicians studied the salinon, a figure bounded by four semicircles. What is
the area of this salinon to the nearest tenth of a square inch?
1 in.
1 in.
The area of the salinon is
in?

Answer 1

The area of the salinon bounded by four semicircles is 4.7 in²

What is area?

Area is the amount of space occupied by a two dimensional shape or object.

Area of a circle = π * radius²

For each of the small semicircle (divide area by 2):

Area = (1/2) * π * 1² = π/2 in²

For the small big semicircle (divide area by 2):

Area = (1/2) * π * 2² = 2π in²

Area of salinon = 2π - π/2 - π/2 + π/2 = 4.7 in²

The area of the salinon bounded by four semicircles is 4.7 in²

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