Thursday, December 6, 2012

How to find arc length, when given the radius and angle?

Q. The radius of circle is 9 cm
and the angle is 7pi / 4

the same for this one:

radius is 4.93cm
angle is 4.67 radians

A. example
circle: figure out your circumfrence...lets say its 10cm and the angle they give you is
20 degrees (20°00'00")

20°/360°= x/10cm
x is the arc length your looking for
cross multiply;

(10cm x 20°) ÷ 360° = x

so arc length of a 20° slice is 0.55cm

My point is this can be solved by cross multiplication.
I dont use rads very much so i usually convert to dms


check math.com for good examples

Find the arc length subtended by a central angle of 30° in a circle of radius 4 and radius 5?
Q. How would you even do a problem like this? I am in Pre-Calculus but have like no concept of Trigonometry.

A. draw a diagam. That might help

What is the arc length of a segment along a circle of radius 22inch subtended by an angle of 120 degrees?
Q. An example quiz question that is giving me a hard time

A. Am I to understand that you want the arc length of one-third of a circle with 22inch radius? Or rather, you want one-third the circle circumference?




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