In the diagram, $$\(\operatorname{arc} A B\)$$ is part of a circle with centre $$\(O\)$$ and radius $$\(8 \mathrm{~cm}\)$$. Arc $$\(B C\)$$ is part of a circle with centre $$\(A\)$$ and radius $$\(12 \mathrm{~cm}\)$$, where $$\(A O C\)$$ is a straight line. Find the perimeter of the shaded region. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_13 Year:2020 Question No:9(c)

Answer:

Arc \(B C=12 \times\) their \(0.7227\)
Perimeter \(=8+4+\) their \(8.67=20.7\)

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.)

Solution:

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