farishforever2019
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Please help me out and explain it! :d

A piece of wire 144 cm long is bent to form a semicircle. Find the diameter of the semicircle step by step explaination, giving your answer in metres. (Take π to be 22/7.) (The answer must be 0.56)​

Verified Answer :

Answer:

The diameter = 0.56 m   ( or  56 cm).

Step-by-step explanation:

Let the diameter = D cm.

The total length of a semicircle

= diameter + length of the half circle

= D + π radius

The radius = D/2, so

Total length = D + π D/2

The total length is 144, so:

D + π D/2 = 144

Taking π = 22/7

D + 22D/(27) = 144

Multiplying each term by 14:

14D + 22D = 2016

D = 2016 / (14 + 22)

   = 2016 / 36

   = 56 cm .

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