Q. 5 C4.2( 37 Votes )

# Construct a segme

Given an angle of 120° and chord 5cm

Rough Image : Explanation:

x + x + 120° = 180°

[using sum of all angles in a triangle = 180°]

2x + 120° = 180°

2x = 180° - 120°

2x = 60°

x = = 30°

Steps of construction:

Step 1: Draw a line segment AB = 5cm Step 2: Draw an angle of 30° on point A and B to intersect at O. Step 3: With centre ‘O’ and radius OA and OB, draw the circle. Step 4: Mark a point ‘C’ under the chord AB and on the arc of the

circle . Join AC and BC.

we get MA0B = 240°. Thus, ACB is the required circle segment.

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