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Find the area of the purple shaded region

Find the area of the purple shaded region. Express result to the accuracy of 3 decimal.

Correct answers: 45

The first user who solved this task is Sanja Šabović.

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Turbulent Times

A plane hit a patch of severe turbulence and the passengers were holding on tight as it rocked and reeled through the night. A little old lady turned to a minister who was sitting behind her and said, "You're a man of God. Can't you do something about this?"
He replied, "Sorry, I can't. I'm in sales, not management."

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Forest Ray Moulton

Died 7 Dec 1952 at age 80 (born 29 Apr 1872).American astronomer who collaborated with Thomas Chamberlin in advancing the planetesimal theory of the origin of the solar system (1904). They suggested filaments of matter were ejected when a star passed close to the Sun, which cooled into tiny solid fragments, “planetesimals.”Over a very long period, grains collided and stuck together. Continued accretion created pebbles, boulders, and eventually larger bodies whose gravitational force of attraction accelerated the formation of protoplanets. (This formation by accretion is still accepted, but not the stellar origin of the planetesimals.) Moulton was first to suggest that the smaller satellites of Jupiter discovered by Nicholson and others in the early 20th century were captured asteroids, now widely accepted.

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