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Why don’t we use a full circle as protractor? To measure angles, we use protractor, which is half circle We don’t use full circle, why? Let’s look at the reasons 1. Half-circle (180°) protractors are easier to use Most angles we measure in school geometry (acute, obtuse, right, straight) are less than or equal to 180°. A 180° semicircle lets you place it easily along the baseline of the angle, and read off the measurement directly. It simplifies the layout: one straight edge, center marked, and two mirrored number scales (left to right, right to left). 2. Full-circle (360°) protractors are used — but only when needed They’re used in advanced navigation, mechanical engineering, and map work. But for school-level geometry, you rarely need to measure reflex angles (>180°). So a 360° protractor is more complex than necessary. 3. Simplicity and cost Half-circle protractors are: Cheaper to manufacture Easier to store in a compass box Simple for beginners To summarise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo