Answered

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A circle has a radius of 4 cm. What is the measure of the angle, in radians, that is
created by rotating an arc length of 1.5 cm around the circumference of the
circle?

Sagot :

zaidagha
Give me branliest sir I have the answer ready for you
Hrishii

Answer:

[tex] \theta=\frac{75\pi^c}{628} [/tex]

Step-by-step explanation:

Formula for length of arc is given as:

[tex] l=\frac{\theta}{2\pi} \times 2\pi r[/tex]

Plug l = 1.5 and r = 4 in the above equation, we find:

[tex] 1.5=\frac{\theta}{2\pi} \times 2\times 3.14\times 4[/tex]

[tex] 1.5=\frac{\theta}{\pi} \times 12.56[/tex]

[tex] \theta=\frac{1.5\pi}{12.56} [/tex]

[tex] \theta=\frac{150\pi}{1256} [/tex]

[tex] \theta=\frac{75\pi^c}{628} [/tex]

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