In the given figure, the diameter CD of a circle
with centre O is perpendicular to chord AB. If
AB = 12 cm and CE = 3 cm, calculate the radius
of the circle.
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Answer:
7.5 cm
Step-by-step explanation:
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=90oandAB=2AEsincetheperpendicular,droppedfromthecenterofacircletoitsanychordbisectsthelatter.SoAE=21AB=21×12cm=6cm.∴OAEisarighttrianglewithOAashypotenuse.
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The drawing for this is above . ..If being calculated the answer is 7.5 ....If u need the explanation let me know . Helpful ?mark me as brainliest
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