25. Five marks exercise problems VII

A school wants to conduct tree plantation programme. For this a teacher allotted a circle of radius \(6 \ m\) ground to nineth standard students for planting saplings. Four students plant trees at the points \(A\), \(B\), \(C\) and \(D\) as shown in the figure. Here \(AB = 8 \ cm\), \(CD = 10 \ cm\) and \(AB \perp CD\). If another student places a flower pot at the point \(P\), the intersection of \(AB\) and \(CD\), then find the distance from the centre to \(P\).

 

 

Distance from the centre to \(P\) \(=\)  \(cm\)

 

[Note: Enter your answer up to two decimal places.]