Convert the following degree in to radian 70°30'
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A complete circle is 360°, but a complete circle is also 2π radians. This means that 360° = 2π. Divide both sides by 360, you get 1° = π/180.
This means 70° is equal to (70)(π/180). Then simplify this, and 70° = (7π)/18 radians, or approximately 1.221730476396 radians.
This seems reasonable because 90°, is a quarter circle and (1/4) of 2π is π/2, which is approximately 1.57 radians. And 1.22 radians is a little smaller than 1.57 radians. Just like 70° is a little smaller than 90°.
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