The inner circumference of a circular track is 176 m. The track is 7 m wide. Calculate the:
(a) area of the track.
(b) c

The inner circumference of a circular track is 176 m. The track is 7 m wide. Calculate the:
(a) area of the track.
(b) cost of putting up a fence along the outer circle at the rate of 12 rupees per metre.

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2 thoughts on “The inner circumference of a circular track is 176 m. The track is 7 m wide. Calculate the:<br />(a) area of the track.<br />(b) c”

  1. Area of the track is 1386m^21386m

    2

    and Cost of putting up a fence along the outer circle at the rate of rs 12 per metre is Rs.2640

    Step-by-step explanation:

    Step-by-step explanation:

    Circumference of circle = 2 \pi r2π r

    Inner circumference = 176 m

    So, 2 \times \frac{22}{7} \times r = 1762×

    7

    22

    ×r=176

    r = 176 \times \frac{7}{22 \times 2}r=176×

    22×2

    7

    r = 28r=28

    Inner radius r = 28 m

    The track is 7 m wide .

    Outer radius R = 28+7 = 35 m

    Area of track = Outer area – Inner area = \pi R^2-\pi r^2=\frac{22}{7}(35^2-28^2)=1386m^2πR

    2

    −πr

    2

    =

    7

    22

    (35

    2

    −28

    2

    )=1386m

    2

    Outer circumference = 2 \pi R = 2 \times \frac{22}{7} \times 35=220 m2π R=2×

    7

    22

    ×35=220m

    Cost of fencing 1 m = Rs.12

    Cost of fencing 220 m = 12 \times 220 = Rs.264012×220=Rs.2640

    Hence Area of the track is 1386m^21386m

    2

    and Cost of putting up a fence along the outer circle at the rate of rs 12 per metre is Rs.2640

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  2. Step-by-step explanation:

    i hope it is help full for you. if you like my answer than mark me as brilliant and like my answer.

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