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Question

A wire is bent to form a circle of radius 7 cm. From the resulting shape, a chunk of the wire is cut off, and the wire cut off measures 4 cm in length. The length of the remaining wire is ___ cm

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Solution

The length of the wire = circumference of the circle with radius 7cm
=2×π×r=2×227×7=44 cm.
When a wire of length 4 cm is cut off, the length of the wire remaining = circumference - length of arc cut off = 44 - 4 = 40 cm.

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