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Inscribe a Regular Hexagon in a Circle of Radius 3 .5 Cm - Mathematics

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Question

Inscribe a regular hexagon in a circle of radius 3 .5 cm.

Diagram

Solution

Steps of construction: 

(i) Draw a circle with centre O and radius = 3.5 cm. 

(ii) Draw radii OA and OB such that ∠ AOB = (360/3) = 120° 

(iii) Cut off arcs BC, CD, DE, EF and AF equal to AB. 

(iv) Join AB, BC, CD, DE, EF and AF. 

ABCDEF is the required regular hexagon inscribed in the given circle.

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Chapter 18: Constructions - Exercise 18.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 18 Constructions
Exercise 18.1 | Q 8

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