Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A circle has a circumference of 18 cm. What is
the length of an arc that has a measure of 160°?

Sagot :

Corsaquix

Answer:

[tex]8\:\mathrm{cm}[/tex]

Step-by-step explanation:

By definition, the length arc is a portion of a circle's circumference. The exact amount is directly proportional to the measure of the arc. Therefore, the formula for the length of an arc with measure (in degrees) [tex]\theta[/tex] is [tex]2\pi r\cdot \frac{\theta}{360}[/tex], where [tex]2\pi r[/tex] is the circumference of the circle.

Substituting [tex]2\pi r=18[/tex] and [tex]\theta=160^{\circ}[/tex]:

[tex]L_{arc}=18\cdot \frac{160}{360}=\boxed{8\:\mathrm{cm}}[/tex]

okpalawalter8

We have that The length of an arc that has a measure of 160° is

[tex]l=7.9866cm[/tex]

From the Question we are told that

Circumference of 18 cm.

Arc angle=160

Generally the equation for length of arc  is mathematically given as

[tex]l=2 \pi r (\theta /360)[/tex]

Where

[tex]C=2\pi r\\\\r=\frac{18}{2\pi}\\\\r=2.86cm[/tex]

Therefore

[tex]l=2 \pi 2.86 (160/360°)[/tex]

[tex]l=7.9866cm[/tex]

Therefore

The length of an arc that has a measure of 160° is

[tex]l=7.9866cm[/tex]

For more information on this visit

https://brainly.com/question/12359715

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.