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)
12560 km²
31415 km²
40000 km²
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.
