A farmer waters his crops with a pivot sprinkler. This sprinkler rotates and spreads water in a circle with a of radius 307 m. What is the total area that can be watered by this sprinkler?Round your answer to the nearest whole number. Do not type the units in the space below.
Question
A farmer waters his crops with a pivot sprinkler. This sprinkler rotates and spreads water in a circle with a of radius 307 m. What is the total area that can be watered by this sprinkler?Round your answer to the nearest whole number. Do not type the units in the space below.
Solution
To find the total area that can be watered by the sprinkler, we need to calculate the area of the circle that the sprinkler covers. The formula for the area of a circle is πr², where r is the radius of the circle.
Step 1: Identify the radius. In this case, the radius is given as 307 m.
Step 2: Substitute the radius into the formula. So, Area = π(307)².
Step 3: Calculate the area.
Step 4: Round the answer to the nearest whole number.
Let's do the calculation:
Area = π(307)² = 295,028.64 square meters.
Rounding to the nearest whole number, the total area that can be watered by this sprinkler is 295,029 square meters.
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