Answer: (175*π)yd^2
Step-by-step explanation:
If we find the total area enclosed by the outer circle, the subtract the area enclosed by the inner circle, the we inevitably get the area between the two regions.
The radius of the outer circle is 15yd + 5yd, which is 20yd. Use the formula for the area of a circle, A = pi*r^2. Therefore, the area enclosed by the outer circle is:
[tex]A=\pi* 20^2=400\pi[/tex]
Now, the radius of the inner circle was stated to be 15yd. Do the same thing. Plug it into the formula:
[tex]A=\pi *15^2=225\pi[/tex]
Subtract the two areas to find the shaded blue area. Hopefully this was intuitive by thinking of area as an enclosed region of space.
[tex]A=400\pi -225\pi =175\pi[/tex]
