a 54 cm long piece of wire is bent into the shape of a semicircular arc bounded by its diameter.find it's radius
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Given that total length of wire is 54 cm. The wire is bent into the shape of semicircular arc bound by its diameter. Hence, radius of the semicircle is 10.5 cm.
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Step-by-step explanation:
r = 10.5 cm
● Explanation -
Given that total length of wire is 54 cm.
The wire is bent into the shape of semicircular arc bound by its diameter.
l = πr + 2r
l = r (π + 2)
54 = r (3.142 + 2)
r = 54 / 5.142
r = 10.5 cm
Hence, radius of the semicircle is 10.5 cm.
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