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.]