Question

5. Construct a segment of a circle on a chord of length 5cm. containing the following angle 120​

Answer 1

Answer:

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Step-by-step explanation:

Given an angle of 120° and chord 5cm

x + x + 120° = 180°

[using sum of all angles in a triangle = 180°] ⇒ 2x + 120° = 180°

⇒ 2x = 180° - 120°

⇒ 2x = 60°

⇒ x = 30°

steps :

Draw a line segment AB = 5cm

Draw an angle of 30° on point A and B to intersect at O.

With centre ‘O’ and radius OA and OB, draw the circle.

Mark a point ‘C’ under the chord AB and on the arc of the   circle . Join AC and BC.

we get  ∠A0B = 240°.

Thus, ACB is the required circle segment.

similarly,

repeat the same steps for another angles.

hence, ACB is the required circle segment.