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Home » Divide by \(\pi\): \(288 = 12r^2\). - Belip

Divide by \(\pi\): \(288 = 12r^2\). - Belip

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 Actual distance = 420 km = 420,000 meters.

📌 Scale: 1 cm = 10,000 meters, so map width = 420,000 ÷ 10,000 = <<420000/10000=42>>42 cm.

📌 A cartographer is calculating the area of a lake using pixel counting from a satellite image with 0.2-meter resolution. The lake covers 25,000 pixels. What is the area of the lake in square kilometers?

📌 Each pixel is 0.2 meters, so area per pixel = 0.2 × 0.2 = <<0.2*0.2=0.04>>0.04 m².

📌 Total area = 25,000 × 0.04 = <<25000*0.04=1000>>1,000 m².

📌 Convert to km²: 1,000 ÷ 1,000,000 = <<1000/1000000=0.001>>0.001 km².

📌 #### 0.001

📌 A cartographer is determining the time difference for updating a GIS database across three time zones. If Coordinates A is in UTC+3, Coordinates B in UTC−5, and Coordinates C in UTC+1, and a data sync requires local time reception within a 15-minute window, what is the maximum possible difference in local UTC times at the sync moment?

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