Answer to Question #108028 in Geometry for Twiggy Pappas

Question

The perimeter of a quarter circle is 17.85 what is the circles radius

Answer 1

P=(2$\pi$R)/4+2R is the perimeter of a quarter circle. R is the radius of the circle,

P=πR/2+2R=R(π/2+2)=17.85,

R(π/2+2)=17.85,

R=17.85/(π/2+2)=17.85/(3.14/2+2)=5.

So, the radius of the circle is R=5.