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The perimeter of a sector of …

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The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is (a) 31.2 cm² (b) 15 cm² (c) 15.6 cm² (d) 16.6 cm²

    • Posted by Swagata Lakshmi Mallik 5 years ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years ago

    Let AOB be the sector with O as center.

    Given: Radius =r=5.2 cm

    Perimeter of sector =16.4 cm

    So, OA+AB+OB=16.4

    ⇒5.2+5.2+AB=16.4

    ⇒AB=6 cm

    Area of sector =1/2 ​rl

                            =1/2​×5.2×6

                             =15.6 cm2

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