Question

Given a circle with centre O and radius 4 cm. P be a point such that OP = 5 cm. Find the length of the tangent from P to the circle.​

Answer 1

Answer:

Step-by-step explanation: Solution:

In the attached figure

OA = OB = 5cm [radius of circle]

AB = 5√3 cm [ chord length]

Construction: Draw a perpendicular line OE on chord AB

As we know that perpendicular OE bisect the chord AB,so

Now in Right triangle ∆OEA

Angle OAE =>

we know that √3/2 is value of cos 30°

so,angle OAE = 30°

Thus angle AOE = 60°[ angle sum property of triangle]

By the same way in another triangle ∆OBE

Angle OBE = 30°

So,center angle of the chord is 120°

Now area of the sector OAB

Hope it helps you.

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