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show-by-integration-that-the-centroid-of-a-semi-circular-lamina-of-radius-a-from-the-centre-is-4a-3pi-




Question Number 75102 by Rio Michael last updated on 07/Dec/19
show by integration that the centroid  of a semi−circular lamina of radius a   from the centre is   ((4a)/(3π)).
$$\mathrm{show}\:\mathrm{by}\:\mathrm{integration}\:\mathrm{that}\:\mathrm{the}\:\mathrm{centroid} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{semi}−\mathrm{circular}\:\mathrm{lamina}\:\mathrm{of}\:\mathrm{radius}\:{a}\: \\ $$$$\mathrm{from}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{is}\:\:\:\frac{\mathrm{4}{a}}{\mathrm{3}\pi}. \\ $$

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