If the circumference of a circle is 100 units. Then what will be the length of…
2024
If the circumference of a circle is 100 units. Then what will be the length of the arc described by an angle of 20 degree ?
- A.
52/9 units
- B.
58/9 units
- C.
73/9 units
- D.
50/9 units
Attempted by 6 students.
Show answer & explanation
Correct answer: D
Answer: 50/9 units
Reasoning:
Circumference is given as 100 units.
Use the arc length formula: arc length = (angle/360) × circumference.
Substitute angle = 20°: arc length = (20/360) × 100 = (1/18) × 100 = 100/18 = 50/9 units.
Decimal approximation: 50/9 ≈ 5.5556 units.