Answered

Find the best answers to your questions with the help of IDNLearn.com's knowledgeable users. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

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 :

Zaidaghaidn
Give me branliest sir I have the answer ready for you
Hrishiiidn

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]

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.