Question

Ab =30 cm and CD =12 cm .then find radii of both the circle .( with diagram ) ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Correct option is D)

Given−

CDisthediameterofacirclewithcentreO.

CD⊥thechordAB=12cmatE.

CE=3cm.

Tofindout−

theradiusofthegivencircle=?

Solution−

WejoinOA.

∴OAisaradiusofthegivencircle.

Lettheradiusofthegivencircle=r.

∴OC=randOE=(r−3)cm.

AlsoOA=r.

Now(DCorOE)⊥ABatE.

∴∠OEA=90

o

andAB=2AEsincetheperpendicular,

droppedfromthecenterofacircletoitsanychord

bisectsthelatter.

SoAE=

2

1

AB=

2

1

×12cm=6cm.

∴OAEisarighttrianglewithOAashypotenuse.

So,applyingPythagorstheorem,weget

OA

2

=AE

2

+OE

2

⟹r

2

=6

2

+(r−3)

2

⟹6r=45cm

⟹r=7.5cm.

Ans−OptionC.