Learning Tank 2 In your answer sheet copy and find the area of the shaded region Use 314
Question
Basic Answer
Ideas for solving the problem:
This problem can be solved by calculating the area of a sector.
Calculation step:
Step 1: Find the area of the circle.
The radius of the circle is 2 m. The area of a circle is given by the formula A = Ï€r², where ‘r’ is the radius. Therefore, the area of the circle is A = 3.14 * (2 m)² = 12.56 m².
Step 2: Determine the fraction of the circle represented by the shaded sector.
The shaded sector is a quarter of the circle (90° out of 360°). This can be expressed as a fraction: 90°/360° = 1/4.
Step 3: Calculate the area of the shaded sector.
To find the area of the shaded sector, multiply the area of the entire circle by the fraction representing the sector: (1/4) * 12.56 m² = 3.14 m².
Final Answer:
The area of the shaded region is 3.14 square meters.
Highlights:
The key to solving this problem is understanding the relationship between the area of a sector and the area of the entire circle. Remember the formula for the area of a circle (A = Ï€r²) and how to calculate the fraction of the circle represented by a given sector. Using the value of Ï€ provided (3.14) is crucial for accuracy.
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