/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 18 How long a piece of wire would y... [FREE SOLUTION] | 91Ó°ÊÓ

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How long a piece of wire would you need to form a circular arc subtending an angle of 1.4 rad, if the radius of the are is \(8.1 \mathrm{cm} ?\)

Short Answer

Expert verified
The length of the wire needed to form the arc is 11.34 cm.

Step by step solution

01

Identifying known values

You have the radius \(r = 8.1 \mathrm{cm}\) and the subtended angle \(θ = 1.4 \mathrm{rad}\)
02

Use the formula for arc length to calculate

Plugging in the values to the formula which is: \(Length = Radius * Angle\), we get: \(Length = 8.1 \mathrm{cm} * 1.4 \mathrm{rad}\)
03

Calculate the arc length

On multiplying 8.1 by 1.4, we get 11.34 cm as the length of the wire needed to form the arc.

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