Answer:
6.6 cm and 14.6 cm
Step-by-step explanation:
(a)
the length of arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr ×
= 2π × 4 ×
= 8π ×
=
≈ 6.6 cm ( to the nearest tenth )
(b)
the perimeter (P) of sector AOB is
P = r + r + AB = 4 + 4 + 6.6 = 14.6 cm
For this case we have the following equation:
We must clear the value of the variable "x" as a function of r, s and t:
If we multiply by "r" on both sides of the equation we have:
If we subtract "t" on both sides of the equation we have:
If we divide by "2" on both sides of the equation we have:
Thus, the value of the variable "x" is:
Answer: