In a circle, the measure of an inscribed angle of an arc is 45°, find the ratio of length of the corresponding chord to that of the radius.
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The length of a circular arc with radius r subtending θ radians is rθ (this is the definition of a radian). 45 degrees is π4 radians, so the arc length is 2π4=π2 miles, or about a mile and a half.
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