Correct Answer - Option 2 : 200 cm

**Given: **

Number of rounds = 280

Total distance = 1.76 km

**Formula Used:**

Circumference of circle = 2πr

Total distance = Number of rounds × Distance covered in 1 round

Radius = Diameter/2

**Calculation:**

1 km = 100000 cm

⇒ 1.76 km = 176000 cm

Total distance = Number of rounds × Distance covered in 1 round

⇒ 176000 = 280 × Distance covered in 1 round

⇒ 176000/280 = Distance covered in 1 round

Circumference of circle = Distance covered in 1 round

⇒ 176000/280 = 2 × 22/7 × r

⇒ 100 cm = r

⇒ Diameter = 2 × 100 = 200 cm

∴ Measurement of the longest chord of wheel is 200 cm.

The correct option is 2 i.e. 200 cm

The longest chord of the circle is the diameter of the circle.