If a radar system can detect objects up to 100 km away, what is the maximum area

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Question: If a radar system can detect objects up to 100 km away, what is the maximum area it can cover? (2022)

Options:

Correct Answer: 31415.93 km²

Exam Year: 2022

Solution:

Area = πr² = π(100 km)² ≈ 31415.93 km²

If a radar system can detect objects up to 100 km away, what is the maximum area it can cover? (2022)

If a radar system can detect objects up to 100 km away, what is the maximum area it can cover? (2022)

Step 1: Understand that the radar system can detect objects in a circular area around it.
Step 2: Identify the radius of the area. The radius (r) is the distance the radar can detect, which is 100 km.
Step 3: Use the formula for the area of a circle, which is Area = πr².
Step 4: Substitute the radius into the formula. So, Area = π(100 km)².
Step 5: Calculate (100 km)², which is 10000 km².
Step 6: Multiply by π (approximately 3.14). So, Area ≈ 3.14 * 10000 km².
Step 7: Calculate the final area, which is approximately 31415.93 km².

Area Calculation – Understanding how to calculate the area of a circle using the formula A = πr², where r is the radius.
Units of Measurement – Recognizing and correctly applying units of measurement (e.g., km²) in calculations.