find the length of the arc measuring 30 degrees and radius 4.6 cm. round the answer to two decimal places?

Answer 1

solution:

arc length = radius x angle theta (in radians)

= 4.6 (30) (pi/180)

answer = 2.41 cm

Answer 2

The formula for calculating the length of an arc is
Length =0.017453(r)(Theta), where r = radius and
Theta is the angle in degrees. Messy, but effective.

Here's a cleaner way.

There are 360 degrees in a circle
A circle of radius 4.6 has a circumference of C=2(pi)r
or 2(3.14)(4.6), which works out to 28.888 cm.
A 30 degree arc is 30/360 = 1/12 of a circle, and 1/12 of its circumference. 1/12 of 28 888 is 2.41 cm.
Good luck

Answer 3

Hello

The whole circle is 2pi * 4.6 = 9.2 pi
So we set up a proportion 360/(9.2pi) = 30 / x so x = (30*9.2Pi) 360 = 2.41 cm

Hope This Helps!