The perimeter of a quarter circle is 10.71 meters what is the circles radius

C=2pir

circumfrence is distance around

so 1/4 of that is (2pir) / 4=pir/2

and the 2 sides are radii

that quarter circle perimiter is 2r+c/4 or 2r+pir/2

10.71=2r+pir/2

times 2both sides

21.42=4r+pir

undistribute

21.42=r (4+pi)

divide both sides by 4+pi

(21.42) / (4+pi) = r

aprox pi=3.141592

r=2.99783 meters

aprox

r=3meters about

The radius would be 1.7