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    NationalMediumGeometry7–9

    Arc Length and Area of a Circular Sector

    Comprimento do Arco e Área de um Setor Circular

    A circular flower bed of radius 12 m has a sector of central angle 60^\circ planted with roses. Find the length of the arc of that sector and its area, and then the total length of the fence that surrounds the rose sector.

    A sector is a fraction of the whole circle, and the same fraction serves for both the circumference and the area. The fence is not only the arc.

    Solution

    Step 1 of 4

    1. 1.The sector is \frac{60}{360} = \frac{1}{6} of the circle.