Answer:
11.33 in. to the nearest hundredth.
Step-by-step explanation:
The perimeter of the shaded area = length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.
Calculate the length of the outer arc:
This equals (30 / 360) * perimeter of the largest circle
= 1/12 * 2 π * 8
= 4/3 π in.
The inner circle has a radius of 8 - 2 = 6 ins
so the length of the inner arc
= 1/12 * π * 2 * 6
= π in.
So the perimeter of the shaded region = 4 + 4/3 π + π
= 4 + 7π/3
= 11.33 in.
Answer:
199/25
Step-by-step explanation:
Answer:
She will not meet her goal.
Step-by-step explanation:
There are 5 weekdays, so she will run for 0.5 * 5 = 2.5 hours over the weekdays
There are 2 weekends, so she will run for 2 * 1 = 2 hours over the weekend.
In total, this means she will run for 4.5 hours.
4.5 hours * 550 calories per hour = 2475 calories.
She will not meet her goal.