In the diagram, $$$O A B$$$ is a sector of a circle with centre $$$O$$$ and radius $$$2 r$$$, and angle $$$A O B=\frac{1}{6} \pi$$$ radians. The point $$$C$$$ is the midpoint of $$$O A$$$. Find the exact perimeter of the shaded region. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s20_qp_12 Year：2020 Question No：7(b)

Answer:

Perimeter $=\frac{2 \pi r}{6}+r+r \sqrt{(5-2 \sqrt{3})}$

Knowledge points:

1.4.2 use the formulae in solving problems concerning the arc length and sector area of a circle (Including calculation of lengths and angles in triangles and areas of triangles.)

Answer:

Knowledge points:

Solution:

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