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parshyaa
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- Why θ in radian equals arc/radius?
It's a definition. Definitions aren't proved.parshyaa said:I know that it can't be proved but there must be a explanation for this formula. How founder may have got this idea.
- Why θ in radian equals arc/radius?
OK, 2πr/1 = 360°, can we say that here arc = 2πr and radius =1 , therefore we get 2π = 360° , this may be the reason which made founder to make it as a definition , this is just my thinkingMark44 said:It's a definition. Definitions aren't proved.
One radian is the angle subtended by a sector of a circle for which the arc length of the sector is equal to the radius of the circle.
parshyaa said:OK, 2πr/1 = 360°, can we say that here arc = 2πr and radius =1 , therefore we get 2π = 360° , this may be the reason which made founder to make it as a definition , this is just my thinking
The circular method is a technique used to measure angles in a circular or curved object. It involves using a protractor to measure the angle at the center of the circle or arc, and then multiplying that angle by the number of times the circle or arc fits into the full 360 degrees.
The accuracy of the circular method depends on the precision of the protractor used and the skill of the person taking the measurement. However, with a high-quality protractor and careful measurement techniques, the circular method can provide accurate results.
Yes, the circular method can be used to measure any type of angle, including acute, obtuse, and reflex angles. It is especially useful for measuring angles in curved objects, such as circles, arcs, and segments.
The circular method is commonly used in various fields of science, such as astronomy, physics, and engineering. It can be used to measure the angles of celestial bodies, determine the direction and magnitude of forces, and design curved structures.
One limitation of the circular method is that it is not suitable for measuring angles in non-circular or non-curved objects. Additionally, it may be challenging to use for very small or very large angles, as the measurement may not be precise enough.