Answer:
The arc length of a circle is 3.14 m or 1π m
Explanation:
First of all we have to calculate the circumference of the circle and then extract the portion that corresponds to 90°
To solve this exercise we need to use the circumference formula of a circle:
c = circumference
r = radius = 2m
π = 3.14
c = 2π * r
we replace the known values
c = 2 * 3.14 * 2m
c = 12.56m
As we know a circle is represented with 360 ° and they tell us that the angle is 90 °, so we have to know the relationship with respect to the total
90° / 360° = 1/4
Now we multiply this number by the circumference and we will obtain the length of the arc
12.56m * 1/4 = 3.14
The arc length of a circle is 3.14 m or 1π m