farishforever2019 farishforever2019

02-06-2024
Mathematics

Answered

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)

Answer :

djp6182583 djp6182583

02-06-2024

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/(2*7) = 144

Multiplying each term by 14:

14D + 22D = 2016

D = 2016 / (14 + 22)

= 2016 / 36

= 56 cm .

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