The figure shown is formed by the arcs joining the midpoints of the four sides of a square with a side length of 15 centimeters.

The area of the shape is (BLANK) square centimeters.

Question

The figure shown is formed by the arcs joining the midpoints of the four sides of a square with a side length of 15 centimeters.

The area of the shape is (BLANK) square centimeters.

Vocaloid · Answer

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Vocaloid · Answer

this?

Vocaloid · Answer

since each arc joins the midpoints, we know that these distances are 1/2 the length of the square

Vocaloid · Answer

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Vocaloid · Answer

if we join the quarter-circle sections together we get one circle where its radius = 1/2 the side of the square

Vocaloid · Answer

so the area of the star-shaped thing = area of square w/ side length 15 - area of circle with radius one half the side length

translate this expression into a formula and evaluate.

Vocaloid · Answer

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