A circle with radius 6 cm has half its area removed by cutting off a border of uniform width. Find the width?

A circle with radius 6 cm has half its area removed by cutting off a border of uniform width. Find the

width of the border.

2 Answers

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  • Favorite Answer

    A = pi x r^2

    A = 3.14 x 36 = 113.05 sq. cm.

    .5 x A = 56.52 sq. cm ==> new radius: 56.52 = 3.14 x r^2 ==> r = 4.25

    6 - 4.25 = 1.75cm, the width of the border removed

    Source(s): 30 years engineering
  • 8 years ago

    diameter = 12 cm

    dia = [sqrt(2)]*border

    12 cm = [sqrt(2)]*border

    border (width) = 8.49 cm

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