Question

Geometry Does anyone know how to do this?

Answer 1

(a) The square

For all rectangles, the area is the length multiplied by the height. For squares (a special type of rectangle), the length and height are the same, so you just use $s^2$, where $s$ is the side length.

$A=s^2=16^2=\boxed{256}$

(b) The circle

The formula for the area of the circle is $\pi r^2$, where $\pi$ is pi, a constant, and $r$ is the radius of the circle, or the length from the center point to the edge.

We're given the side length of the square, which is the same as the diameter of the circle (length from edge to edge going through the center point). Divide the diameter by $2$ to get the radius of $8$ kilometers.

$A=\pi r^2=\pi8^2=\boxed{64\pi}\approx201.1$

(c) The blue section

The area of the blue section is simply the area of the square minus the area of the circle since we just want what's left over.

$A=\boxed{256-64\pi}\approx54.9$

You can keep the answer exact (the boxed expression) or use the approximate value of 54.9, depending on the instructions for the assignment.