If a radar can detect objects up to a distance of 100 km, what is the maximum ar
Practice Questions
Q1
If a radar can detect objects up to a distance of 100 km, what is the maximum area it can cover? (2022)
31415.93 km²
7853.98 km²
10000 km²
5000 km²
Questions & Step-by-Step Solutions
If a radar can detect objects up to a distance of 100 km, what is the maximum area it can cover? (2022)
Step 1: Understand that the radar can detect objects in a circular area, where the distance it can detect is the radius (r). In this case, the radius is 100 km.
Step 2: Recall the formula for the area of a circle, which is Area = πr².
Step 3: Substitute the radius (100 km) into the formula: Area = π(100 km)².
Step 4: Calculate (100 km)², which is 10000 km².
Step 5: Now multiply by π (approximately 3.14): Area ≈ 3.14 * 10000 km².
Step 6: Calculate the final area: Area ≈ 31415.93 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 assesses the ability to correctly apply units of measurement (km²) in the context of area calculation.
