Question

What is the exact angle measure in radians? 420°

Answer 1

In exact form can be expressed at 7pi/3 which is equivalent to 7.33.
To do conversion do 420/180*pi

Answer 2

Measure of the given angle in radians will be $\frac{7\pi}{3}$.

  Expression to convert the angle given in radians into degrees is,

Radians$=\frac{\theta}{180^{\circ}}\times \pi$

  Here, θ = angle in degrees

Since, measure of the angle in degrees = 420°

Therefore, by using expression,

Radians $=\frac{420^\circ}{180^{\circ}}\times \pi$

              $=\frac{7\pi}{3}$

    Therefore, measure of the given angle in radians will be $\frac{7\pi}{3}$.

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