Answer with explanation:
→It is given that ,Quadrilateral PQRS is inscribed in a circle.
Measure of angle PQR = 85°
If measure of ∠PQR ,would have been 90°
→Then ,Length of arc PQR = Circumference of Semicircle(πr) ⇒∵Angle in a Semicircle measures 90°.
Measure of arc PQR , as measure of ∠ PQR is 85 degrees
So, it will be less than Circumference of Semicircle,Suppose ,x,then
If Represented in terms of proportion
where, r is the radius of circle.