# The wheel of an engine turns 280 times round its axle to cover a distance of 1.76 km. What is the measurement of the longest chord of wheel?

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The wheel of an engine turns 280 times round its axle to cover a distance of 1.76 km. What is the measurement of the longest chord of wheel?
1. 175 cm
2. 200 cm
3. 260 cm
4. 340 cm

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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

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.