Best Answer: the circumference<span> of a </span>circle<span> is 2πr (where r= radius)</span> <span>The arc length of a </span>quadrant of a circle<span> is a quarter of the</span>circumference, i.e. πr/2. <span>There are also the lengths of the 2 straight sides of the </span>quadrant<span>, and their lengths are both r. so the </span>Perimeter<span> of a </span>quadrant<span>= 2r + (πr/2)</span>