lextrujillo0494 lextrujillo0494

14-09-2018
Mathematics

contestada

in a circle with a radius of 6ft,an arc is intercepted by a central angle of 3π/2 radians.
What is the length of the arc?

2πft
3πft
6πft
9πft

Respuesta :

jdoe0001 jdoe0001

14-09-2018

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6\\ \theta = \frac{3\pi }{2} \end{cases}\implies s=6\cdot \cfrac{3\pi }{2}\implies s=9\pi[/tex]

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saraijaedyn saraijaedyn

14-09-2018

9 is the correct answer

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