The hardest part of this would be finding the length of that arc. Though, since it's a quarter circle, it makes our job a whole lot easier.
The circumference of a circle is 2πr, therefore, a quarter circumference of a circle would be (2<span>πr) / 4. </span> Therefore, the length of that arc would be (2 * 3.14<span> * 8) / 4 = 12.56 </span>
With this figure, we can just add up the rest of the perimeter.
12.56 + 8 (circle radius) + 10 + 10 (two rectangle heights) + 17 (rectangle length) + 9 (rectangle length minus radius, for the top-right part of the rectangle), giving us an answer of 66.56cm
The equation of a circle is defined by (x – h)² + (y – k)² = r² with the center being at (h, k) and with radius r. So we have r² = 16. So the radius equals 4. Hope that helps.
