The diagram shows a triangle $$\(A B C\)$$, in which angle $$\(A B C=90^{\circ}\)$$ and $$\(A B=4 \mathrm{~cm}\)$$. The sector $$\(A B D\)$$ is part of a circle with centre $$\(A\)$$. The area of the sector is $$\(10 \mathrm{~cm}^{2}\)$$. Find angle $$\(B A D\)$$ in radians. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s21_qp_13 Year:2021 Question No:5(a)

Answer:

\(1 / 2 \times 4^{2} \times\) angle \(B A D=10\)
Angle \(\mathrm{BAD}=1.25\)

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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