hannnanahbh hannnanahbh
  • 01-02-2022
  • Mathematics
contestada



Find the length of the arc of a circle of diameter 2 meters subtended by a central angle of
5pi/3
radians. In meters.

Respuesta :

jdoe0001 jdoe0001
  • 01-02-2022

we know the diameter of it is 2, so its radius must be half that, and the central angle is 5π/3, so

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=1\\ \theta =\frac{5\pi }{3} \end{cases}\implies s=(1)(\frac{5\pi }{3})\implies s\approx 5.24~meters[/tex]

Answer Link

Otras preguntas

PRECAL Find the compliment of 0.25Find the supplement of 7π/8
How can "continuity of care" and "goodness of fit" be used to strengthen a child's social and emotional development?
Practice using both the preterite and present tenses together by following the pattern below. Your response should include at least 5 sentences. Pattern: Us
Which would be the closest antonym for the word equal
One star is emitting primarily visible light and another star is emitting primarily infrared light. which star is hotter?
Who is primarily responsible for convincing Justinian to not run away
this country is northwest of panama
Which equation shows y=3/4x−52 in standard form? 4x−3y=10 4x−3y=−10 3x−4y=10 3x−4y=−10
how to write log3 (x-2)=8 in exponential form
Why did the sea trade aid in the decline of the Silk Road? Distances were shorter over sea. Sea routes were faster. More goods could be carried in caravans. The