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.