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

Question

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 :

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What is the answer?

Аноним Аноним · Answer 1 · 2016-11-27T07:40:02+01:00

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

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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 :

Otras preguntas

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