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Ab is a Chord of Circle with Centre O and Radius 4cm. Ab is Length of 4cm. Find the Area of Sector of the Circle Formed by Chord Ab - Mathematics

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Question

AB is a chord of circle with centre O and radius 4cm. AB is length of 4cm. Find the area of sector of the circle formed by chord AB

Solution

AB is chord AB = 4cm

OA = OB = 4cm

OAB is equilateral triangle ∠AOB = 60°

Area of sector (formed by chord [shaded region]) = (area of sector)

`=theta/360^@× pir^2 =60/360× pi × 4 × 4 =(8pi)/3 cm^2`

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Chapter 13: Areas Related to Circles - Exercise 13.2 [Page 25]

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RD Sharma Mathematics [English] Class 10
Chapter 13 Areas Related to Circles
Exercise 13.2 | Q 10 | Page 25

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