The scale of a map is 1:50000 A lake on the map is 6.16 cm find the actual Area of the lake in hectares
what is the shape of the lake?
Is 6.16 cm a length, or a diameter, or what?
To find the actual area of the lake in hectares, we first need to convert the measurement on the map to real-world units.
Given that the scale of the map is 1:50000, this means that 1 cm on the map represents 50000 cm in real life.
To convert the measurement on the map (6.16 cm) to real-life units, we multiply it by the scale factor:
6.16 cm * 50000 cm = 308000 cm
Now, we need to convert the area from square centimeters to hectares. Since 1 hectare is equal to 10000 square meters, and 1 square meter is equal to 10000 square centimeters, we can use the following conversion:
308000 cm * (1/10000 m) * (1/10000 ha) = 0.0308 hectares
Therefore, the actual area of the lake is 0.0308 hectares.
To find the actual area of the lake in hectares, we need to convert the given measurement on the map to real-world units.
First, we need to understand the meaning of the scale. The scale 1:50000 means that 1 unit on the map represents 50000 units in reality. In this case, 1 cm on the map represents 50000 cm in reality.
To convert the length on the map to reality, we can use the following equation:
Real length = Map length * Scale
So, the real length of the lake can be calculated as:
Real length = 6.16 cm * 50000
= 308000 cm
Next, we need to convert the real length from centimeters to hectares.
To do this, note that 1 hectare is equal to 10000 square meters.
First, we need to convert the length from centimeters to meters:
Real length in meters = Real length in cm / 100
Real length in meters = 308000 cm / 100
= 3080 meters
Now, we can calculate the area in square meters by squaring the real length:
Area in square meters = Real length in meters * Real length in meters
= 3080 meters * 3080 meters
= 9486400 square meters
Finally, we can convert the area from square meters to hectares:
Area in hectares = Area in square meters / 10000
= 9486400 square meters / 10000
= 948.64 hectares
Therefore, the actual area of the lake is approximately 948.64 hectares.