Answer:
7.5
Step-by-step explanation:
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([tex]\pi \\[/tex])r
r = 5 therefore: 2([tex]\pi \\[/tex])5 = 10[tex]\pi \\[/tex]
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 7.5[tex]\pi \\[/tex], or 23.55
