What is the arc length of a circle (in meters) with a radius of 2 meters that has an arc angle of 90°?

The arc length of a circle is 3.14 m or 1π m

Step-by-step 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