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At the rodeo, the bronco riding event takes place in a large dirt ring which has a diameter of 13.6 meters. What is the ring's area?

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Solution

To calculate the area of a circle, we use the formula: Area = πr², where r is the radius of the circle.

Step 1: Find the radius. The diameter of the ring is 13.6 meters, so the radius (which is half the diameter) is 13.6 / 2 = 6.8 meters.

Step 2: Substitute the radius into the formula. Area = π * (6.8)².

Step 3: Calculate the area. Area = π * 46.24 = approximately 145.267 square meters.

So, the area of the ring is approximately 145.267 square meters.

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