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TestSeries-(Trigonometry)

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TestSeries - JEE Main - Math

Posted October 29, 2025
TestSeries-(Trigonometry)
title Define radian. How many radians are there in 180°?

Answer

Ranvijay Student

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Replied on October 29, 2025
title

A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.

Angle in radians=Arc lengthRadius\text{Angle in radians} = \frac{\text{Arc length}}{\text{Radius}}Angle in radians=RadiusArc length

Conversion:

180∘=π radians180^\circ = \pi \text{ radians}180=π radians

So, there are π\piπ radians in 180°.

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