daniiii:

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.

4 days ago
Vocaloid:

|dw:1507921558245:dw|

4 days ago
Vocaloid:

this?

4 days ago
Vocaloid:

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

4 days ago
Vocaloid:

|dw:1507922640510:dw|

4 days ago
Vocaloid:

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

4 days ago
Vocaloid:

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.

4 days ago