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If a radar can detect objects up to a distance of 50 km, what is the maximum are

Practice Questions

Q1
If a radar can detect objects up to a distance of 50 km, what is the maximum area it can cover? (2022)
  1. 7850 km²
  2. 5000 km²
  3. 10000 km²
  4. 15000 km²

Questions & Step-by-Step Solutions

If a radar can detect objects up to a distance of 50 km, what is the maximum area it can cover? (2022)
  • Step 1: Understand that the radar can detect objects in a circular area with a radius of 50 km.
  • Step 2: Recall the formula for the area of a circle, which is Area = πr².
  • Step 3: Substitute the radius (r) with 50 km in the formula: Area = π(50 km)².
  • Step 4: Calculate (50 km)², which is 2500 km².
  • Step 5: Multiply 2500 km² by π (approximately 3.14) to find the area: Area ≈ 3.14 * 2500 km².
  • Step 6: Perform the multiplication: Area ≈ 7850 km².
  • Geometry of Circles – Understanding the formula for the area of a circle, A = πr², where r is the radius.
  • Units of Measurement – Converting and understanding distances in kilometers and their implications in area calculations.
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