1. The circumference of a circular pond is 88m. Find its radius.
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Answer:
Using 22/7 for π, the diameter of the pond is 88/(22/7) more easily expressed as 7x88/22, or 28 metres. the area is πd²/4, or πr², whichever you find easier…so-
πd²/4 = 22/7 x 28 x 28/4, which simplifies to 22 x 4 x 7
πr² = 22/7 x 14 x 14 , simplifying to 22 x 2 x 14
Both arrive at the same answer, and it’s even simpler if you know that the area of a circle is 22/28 of the diameter² 22/28 x 28 x 28, or 22 x 28
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The circumference of a circular pond is 88m
The Radius of the pond
We've to first assume the radius of the pond as a variable. Let's say the radius is r metres
=> 88 = 2 × 22/7 × r
=> 88 × 1/2 = 22/7 × r
=> 44 = 22/7 × r
=> 44 × 7/22 = r
=> 2 × 7 = r
=> 14 = r
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