Answer:
The approximated length of arc x is 4 inches ⇒ C
Step-by-step explanation:
- The diameter of the outer circle is 28 inches
- There is a boundary with width 2 inches
That means the diameter of the inner circle is less than the diameter of the outer circle by 4 inches (2 in from each side)
- The diameter of the inner circle = 28 - 4 = 24 inches
The circumference of the inner circles formed from 20 congruent arcs of length x inches
- The circumference of the inner circle = 20 x
Now let us find x
The formula of the circumference of a circle is C = π d, where d is the diameter of the circle
∵ The diameter of the inner circle is 24 inches
∴ d = 24
∴ C = 24 π
∵ C = 20 x
- Equate 20 x by 24 π
∴ 20 x = 24 π
- Divide both sides by 20
∴ x = 3.769911184
- Round it to the nearest unit
∴ x ≅ 4
The approximated length of arc x is 4 inches
