Determine the length of an arc with the given central angle measure, m<w=20;r=1 and round the answer to the nearest hundredth.
recall that length of arc is given by
s = r*theta
where
r = radius
theta = angle in radians
first we convert the given angle to radians:
20 * pi/180 = pi/9 = 0.349 rad
substituting,
s = 1*0.349
s = 0.349
s = 0.35 (nearest hundredth)
hope this helps~ :)
To determine the length of an arc with the given central angle measure, we can use the formula:
Arc Length = (Central Angle / 360) x (2πr)
Given:
Central angle, m<w, is 20 degrees (20°)
Radius, r, is 1 unit
Now, let's substitute the values into the formula:
Arc Length = (20° / 360) x (2π(1))
Simplifying further:
Arc Length = (1/18) x (2π)
Arc Length = (π/9)
To round the answer to the nearest hundredth, we can use the value of π as approximately 3.14:
Arc Length ≈ (3.14/9)
Arc Length ≈ 0.35 units (rounded to the nearest hundredth)