Which are the stations in Circle Line?

10 points! Line RP is tangent to circle o at P and OR intersects the circle at M,the midpoint of OR. if RP=3cm?

• 10 points! Line RP is tangent to circle o at P and OR intersects the circle at M,the midpoint of OR. if RP=3cm,find the length of the radius of the circle. a. in radical form b.to the nearest hundredth

• Answer:

  RM = MO {since M is the midpoint on RO} = PO = r {MO, PO = are radii}. Also RO = RM+MO = 2MO = 2r. The Pythagorus triangle has RO² = PO² + RP², 4r² = r² + (3cm)², 3r² = 9, r = √3cm.