The radius of a circular field is 56 m. The field is surrounded by a road 7 m wide. Find the area of the road.​

The radius of a circular field is 56 m. The field is surrounded by a road 7 m wide. Find the area of the road.​

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1 thought on “The radius of a circular field is 56 m. The field is surrounded by a road 7 m wide. Find the area of the road.​”

  1. Step-by-step explanation:

    The radius of a circular ground is 56 m. Inside it, runs a road of width 7 m all along its boundary. Find the area of this road.

    Answer

    Radius of circular ground=56m

    Width of road inside=7m

    Radius of inner circle=56−7=49m

    Hence area of road= Area of outer − Area of inner

    =π(56)

    2

    −π(49)

    2

    =π(3136−2401)=

    7

    22

    ×735

    =2310m

    2

    .

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