Math, asked by jenduekiehasnoaegyo, 7 months ago

11.The length of a tangent from a point A at a distance 5cm from the centre of a circle is 4cm. Find the
diameter of the circle.​

Answers

Answered by Rkoharsha
1

Answer:

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Answered by steve6668
1

Answer:

AB is a tangent drawn on this circle from point A.

∴ OB ⊥ AB 

OA = 5cm and AB = 4 cm (Given) 

In ΔABO, 

By Pythagoras theorem in ΔABO, 

OA2 = AB2 + BO2 

⇒ 52 = 42 + BO2 

⇒ BO2 = 25 - 16 

⇒ BO2 = 9 

⇒ BO = 3 

∴ The radius of the circle is 3 cm.

diamter=2×r=3×2=6cm

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