nettyannijefuryage nettyannijefuryage
  • 25-11-2016
  • Mathematics
contestada

If the circumference of a circle is 24, and the angle measure of an arc is 120°, which is the length of the arc?
A.
3
B.
6
C.
8
D.
12

Respuesta :

Аноним Аноним
  • 27-11-2016
Using radian meansure
theta = (arc length)/radius
---
arc length = radius*theta
----
Your Problem:
120 degrees = 120(pi/180) = (2/3)pi radians

----
circumference = 2pi*r
24 = 2pi*r
r = 12/pi
-------------
arc length = (12/pi)(2/3)pi = 8 units

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer Link

Otras preguntas

WHICH OF THE FOLLOWINGS NOT A REASON FOR THE PEASANTS REVOLT IN GERMANY A. DEALT TAX ON INHERITANCE B. property that had once been communal became private prop
What proofreading marks do I need to use
What does weight training use? Aerobic improvements from muscle strength Flexibility of muscle control Resistance against muscle contractions Extra muscle tissu
What happened to the carthaginians at the end of the third war with Rome
what is the activation energy of a chemical reaction?
what does xenophobia mean
Sarah drinks a 32oz energy drink containing 90 calories per 12oz. How many calories did she drink?
Declaration of independence how is this like Bill of rights
What is Wycliffe’s complaint about the Church?
Who was responsible for protecting the lives of the common people in the Roman Republic?