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Mathematics

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The center of the circle below is at P. If the angle < APB measures 48 °, and the radius is 8 cm., find the length of the arc AB in cm.. (round to the nearest tenth)

The Center Of The Circle Below Is At P If The Angle Lt APB Measures 48 And The Radius Is 8 Cm Find The Length Of The Arc AB In Cm Round To The Nearest Tenth class=

Answer :

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The length of the arc AB is given by:

[tex]\begin{gathered} arcAB=2\pi\cdot\frac{(\angle APB)}{360\degree}\cdot r \\ arcAB=2\pi\cdot\frac{48\degree}{360\degree}\cdot8 \\ arcAB\approx6.7\text{ cm} \end{gathered}[/tex]

Answer: a. 6.7 cm

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