Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-8

In the given figure, O is the centre of a circle and diameter AB bisects the chord CD at a point such that \[CE=ED=8\,cm\] and \[EB=4\text{ }cm.\]The radius of the circle is

A) 10 cm

B) 12 cm

C) 6 cm

D) 8 cm

Correct Answer: A

Solution :

Let the radius of the circle be r cm.

Then, OD = OB = r cm, \[OE=(r-4)\,cm\]

and ED = 8 cm

Now, \[O{{D}^{2}}=O{{E}^{2}}+E{{D}^{2}}\]

\[\Rightarrow \] \[{{r}^{2}}={{(r-4)}^{2}}+{{8}^{2}}\]

\[\Rightarrow \] 8r = 80

\[\therefore \] r = 10 cm