B 6 cm 6 cm P Q A 6 cm C Diagram NOT accurately drawn The diagram shows an equilateral triangle ABC with sides of length 6 cm. P is the midpoint of AB. Q is the midpoint of AC. APQ is a sector of a circle, centre A. Using Figure 1. What is the Length AP
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$\mathrm{ABC}$ is an equilateral triangle of side $6 \mathrm{~cm}$. If a circle of radius $1 \mathrm{~cm}$ is moving inside and along the sides of the triangle, then locus of the centre of the circle is an equilateral triangle of side (1) $5 \mathrm{~cm}$ (2) $4 \mathrm{~cm}$ (3) $(6-2 \sqrt{3}) \mathrm{cm}$ (4) $(3+\sqrt{3}) \mathrm{cm}$
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