Drafting instruments — divisions on a half-moon (semicircular) protractor A standard semicircular protractor is graduated into how many degrees?
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A360
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B180
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C270
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D310
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E90
Answer
Correct Answer: 180
Explanation
Introduction / Context:Protractors are used to measure and construct angles in drafting and geometry. The common “half-moon” or semicircular protractor covers a half-circle, while full-circle versions exist for specialized work. Knowing the graduations helps avoid measurement mistakes when transferring angles to drawings.
Given Data / Assumptions:
- A semicircle spans half of a full circle.
- A full circle contains 360 degrees.
Concept / Approach:Since a full circle is 360 degrees, a semicircle necessarily spans 180 degrees. Therefore, a standard semicircular protractor is graduated from 0 to 180 degrees (often with dual scales running opposite directions for inside/outside measurements).
Step-by-Step Solution:
Recognize geometry: semicircle = 1/2 of a circle.Compute degrees: 360 / 2 = 180.Confirm typical markings: 0–180 with 1-degree or 0.5-degree ticks, depending on quality.Verification / Alternative check:Inspection of standard school or drafting protractors shows ends labeled 0 and 180, with midpoints at 90 degrees.
Why Other Options Are Wrong:
- 360 and 270: represent full circle and three-quarters of a circle, not a semicircle.
- 310 and 90: not standard for half-circle graduation counts; 90 is a quarter circle.
Common Pitfalls:
- Reading the wrong scale direction; many protractors have mirrored numbering to measure from either edge.
Final Answer:180