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A radar system can detect objects up to 200 km away. If it scans an area in a ci

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Question: A radar system can detect objects up to 200 km away. If it scans an area in a circular pattern, what is the area it can cover? (2023)

Options:

  1. 12560 km²
  2. 31415 km²
  3. 40000 km²
  4. 50000 km²

Correct Answer: 31415 km²

Exam Year: 2023

Solution: 

Area = πr² = π(200 km)² = 125600 km² (approx 31415 km²)

A radar system can detect objects up to 200 km away. If it scans an area in a ci

Practice Questions

Q1
A radar system can detect objects up to 200 km away. If it scans an area in a circular pattern, what is the area it can cover? (2023)
  1. 12560 km²
  2. 31415 km²
  3. 40000 km²
  4. 50000 km²

Questions & Step-by-Step Solutions

A radar system can detect objects up to 200 km away. If it scans an area in a circular pattern, what is the area it can cover? (2023)
  • Step 1: Understand that the radar can detect objects in a circular area.
  • Step 2: Identify the radius of the circle, which is given as 200 km.
  • Step 3: Recall the formula for the area of a circle, which is Area = πr².
  • Step 4: Substitute the radius (r) into the formula: Area = π(200 km)².
  • Step 5: Calculate (200 km)², which is 40000 km².
  • Step 6: Multiply 40000 km² by π (approximately 3.14) to find the area.
  • Step 7: The area is approximately 125600 km².
  • Area of a Circle – The question tests the understanding of the formula for the area of a circle, which is A = πr², where r is the radius.
  • Units of Measurement – It also assesses the ability to correctly apply units of measurement, ensuring that the answer is expressed in square kilometers.
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