A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
https://media.education2020.com/evresources/2092539_2f57b746c73f4a4b8c7ece9ee207b927.png
Find the length of the radius for circle C.
anonymous
 one year ago
https://media.education2020.com/evresources/2092539_2f57b746c73f4a4b8c7ece9ee207b927.png Find the length of the radius for circle C.

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1When the radius of a circle is r, what is the circumference of the circle?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Great. The circumference of a circle is an arc that corresponds to a central angle of 360 degrees or 2 pi radians.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now look in your figure.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You have a central angle of 4pi/9 radians corresponding to an arc length of 20pi/3 units.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433104768403:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0maybe explain what \(\pi \) corresponds to as in a unit circle

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1If we divide the circumference by the central angle, we get the radius.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So how do we get the circumference from what we have now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Since we don't have the radius I'm confused 😕

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In a circle, the central angle is \(2 \pi \) rad. Dividing the circumference by the central angle gives us the radius. \(\dfrac{2 \pi r}{2 \pi} =r \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Let me explain more clearly.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In this problem we are dealing with an arc length, and a radius, and a central angle.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But how can we use r when we don't have the radius

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0we can skip the circumference since we are only dealing with an arc the length of an arc is calculated by the formula, \(\large s = r \times \theta \) you are given the measurements of s and angle

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1When the central angle is given is radians, the length of the arc is the central angle multiplied by the radius.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What would the circumference be

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since you are given the length of the arc and the central angle, and we are dealing with radian measures, divide the length of the arc by the central angle and you get the radius.

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0then we know how to approach how to calculate r \(\large \ r = \frac{s}{\theta} \rightarrow \huge \frac{20 \pi}{3} \div \frac{4 \pi}{9} \) follow the rules when dividing two fractions

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(s = r \theta\) \(r = \dfrac{s}{\theta} \) You have s, the arc length, and theta, the central angle. Plug them is and find r.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got it thanks so much

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have one more question.

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0have you been paying attention or not? now you are being asked to solve for s the arc length, \(s = \large r \times \theta \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In the second problem you use the arc length formula directly. \(s = r \theta\) You are given r, the radius, and theta, the central angle. just multiply them together.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You mean the red section of the circle?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.