Answer:
Correct answer: x = (5 · AB · π + 120) / 96
Explanation:
Given:
The center angle in the circle α = 75°
4 x - 5 = Arc is a circular arc
x = ?
Radius of the circle is R = AB/2
The formula by which we will calculate the circular arc is:
Arc = (R · π / 180°) · α
Arc = (AB · π / 360°) · 75° = (5 · AB · π) / 24
Arc = (5 · AB · π) / 24
4 x - 5 = (5 · AB · π) / 24 ⇒ 4 x = ((5 · AB · π) / 24)) + 5 ⇒
x = ((5 · AB · π + 120) / 24) / 4 = (5 · AB · π + 120) / 96
x = (5 · AB · π + 120) / 96
God is with you!!!