The arc length of the partial circle is 9.42 Units.
Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:
270/360; 360 being the total angle measurement of a circle
270/360 simplifies to 3/4
The fraction represents how much of the circle that arc covers
Now we have to find the circumference which would be
=2(3.14)r
r = 2 therefore: 2(3.14)2 = 12.56
Step-by-step explanation:
Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length
Which gives us 9.42
What is arc length?
The length of a segment of an arc Thus, in a unit circle (radius = 1), any angle of 1 radian cuts off an arc of unit length. All other arclengths are proportional to this; for instance, doubling the radius (to 2) and tripling the angle (to 3 radians) yields an arclength of 6.
Learn more about arc length: https://brainly.com/question/16403495
#SPJ9
