在 Argand 图的草图上，用阴影标出表示同时满足不等式 $|z-1-3\mathrm{i}|\le2$ 和 $|z|\ge4$ 的复数 $z$ 的区域。

Answer all questions. You should use a calculator where appropriate.

You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.

请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程；仅给出计算器答案而没有过程，不予评分。除非题目另有精度要求，非精确数值答案保留 3 位有效数字，以度为单位的角度保留 1 位小数。

画两个圆后选交集，第一个条件在小圆内，第二个条件在大圆外。两者都包括边界。

Draw the circle with centre $(1,3)$ and radius $2$, representing

Draw the circle with centre $O$ and radius $4$, representing $|z|=4$.

Shade the part inside the first circle and outside the second circle. Include both circular boundaries, and label the centres and radii clearly.