. In the figure o is the centre of the circle


. om=3cm and AB=8cm. Find the radius of the circle.

centre of the

 

A:5cm

B:4cm

C:15cm

D:8cm

Best Answer

Explanation:

Given o is the center of circle, om=3cm  and AB=8cm

Join o to A and B

In figure OM show that the perpendicular from center o on cord AB

Perpendicular from the Center of a Circle to a Chord Bisects the Chord.

Then AM=BM

AM=BM=AB/2=8/2=4cm

So

Δ AOM

(AO)2=(AM)2+(OM)2=(4)2+(3)2=16+9=25

⇒ AO=5cm

Then AO is the radius of circle is 5cm.

Final Answer:

Hence, the correct option is (a) i.e. 5cm.

 

 

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