A mobile phone tower has a range of 350 m. The area covered by the range of the tower is ______ sq.m.
Question
A mobile phone tower has a range of 350 m. The area covered by the range of the tower is ______ sq.m.
Solution
The area covered by the range of the tower can be calculated using the formula for the area of a circle, which is πr², where r is the radius of the circle. In this case, the radius is the range of the tower, which is 350 m.
Step 1: Identify the radius (r) of the circle. Here, r = 350 m.
Step 2: Substitute the radius (r) into the formula for the area of a circle.
Area = πr² = π * (350 m)²
Step 3: Calculate the area.
Area = 3.14159 * (350 m)² = 3.14159 * 122500 m² = 385000 m².
So, the area covered by the range of the tower is approximately 385,000 square meters.
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