度和弧度是两种测量角度的测量单位。一个圆形是360度，如果用弧度来描述它，是2π弧度。因此，360° 和 2π 都代表“围绕”圆形一圈。听上去很复杂很混乱？不要担心，只需几步就可以轻松地将度转换成弧度或将弧度换算成度。
步骤
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1
写下度数。我们在文章里举几个例子，方便你更好地理解两种单位的换算：
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示例1: 120°
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示例 2: 30°
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示例 3: 225°
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2
用度数乘以 π/180。为什么要乘以这个数值呢？你应该知道180度相当于π弧度。因此，1度就等于（π/180）弧度。那么要将度换算成弧度，就将度数乘以π/180即可。换算后，去掉单位里的度。例如：
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示例 1: 120 x π/180
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示例 2: 30 x π/180
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示例 3: 225 x π/180
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3
进行数学计算。计算简单的乘法运算，用度数乘以π/180。将这个运算拆分成两个分数：第一个分数是度数数值在分子上，分母是个“1”，第二个分数的分子是π，分母是180。计算得：
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示例 1: 120 x π/180 = 120π/180
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示例 2: 30 x π/180 = 30π/180
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示例 3: 225 x π/180 = 225π/180
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4
化简结果。化简分数，得到最终结果。找到分子和分母的最大公约数，用分子和分母除以它化简分数。示例1的最大公约数是60，示例2是30，第三个是45。你可以尝试用分子和分母除以5、2、3，看能否除尽。
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示例 1: 120 x π/180 = 120π/180 ÷ 60/60 = 2/3π 弧度
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示例 2: 30 x π/180 = 30π/180 ÷ 30/30 = 1/6π 弧度
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示例 3: 225 x π/180 = 225π/180 ÷ 45/45 = 5/4π 弧度
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5
写下结果。你可以写下测量角度的原始结果和换算后的结果。完成换算后，写下弧度结果。 例如：
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示例 1: 120° = 2/3π 弧度
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示例 2: 30° = 1/6π 弧度
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示例 3: 225° = 5/4π 弧度