Arc length of a sector
Difficulty: ★☆☆
632

In the diagram, \(ABC\) is a sector of a circle with centre \(A\) and radius \(8\text{ m}\). The size of angle \(BAC\) is \(0.65\text{ rad}\).
Find the length of arc \(BC\).
Give your answer to 2 significant figures.
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Area of a shaded region in a sector
Difficulty: ★★☆
633

In the diagram, \(ABC\) is a sector of a circle with centre \(A\) and radius \(8\text{ m}\). The size of angle \(BAC\) is \(0.65\text{ rad}\), and \(D\) is the midpoint of \(AC\).
Find the area of the shaded region \(BCD\).
Give your answer to 3 significant figures.
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