Circle O shown below has an arc of length 29 inches subtended by an angle of 2.6radians. Find the length of the radius, x, to the nearest tenth of an inch.

Circle O shown below has an arc of length 29 inches subtended by an angle of 26radians Find the length of the radius x to the nearest tenth of an inch class=

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Solution

Note: Formula to use

From the question, we have

s = 29 inches

r = ?

theta = 2.6 rad

[tex]\begin{gathered} s=r\theta \\ 29=r(2.6) \\ r=\frac{29}{2.6} \\ r=11.15384615 \\ r=11.2inches \end{gathered}[/tex]

Therefore,

[tex]x=11.2inches[/tex]

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