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A formula for arc length in terms of radius and angle

Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

https://schoolyourself.org/page/lti/sy/trigonometry/arc-radian

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