circular track has an area of 4,900 yd?. Alex ran around the whole track three times. How many yards did Alex run, to the nearest hundredth of a yard?

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Circle Area Formula: Determine the formula for the area of a circle. The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius of the circle.Radius Calculation: Solve for the radius of the circular track using the given area. We are given that the area A = 4,900 square yards. We can rearrange the formula to solve for r: r = √(A/π)Radius Calculation Result: Calculate the radius of the circular track. r = √(4,900/π) r ≈ √(4,900/3.14159) r ≈ √(1,560.79) r ≈ 39.50 yardsCircle Circumference Formula: Determine the formula for the circumference of a circle. The circumference C of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle.Circumference Calculation: Calculate the circumference of the circular track using the radius. C = 2πr C ≈ 2 * 3.14159 * 39.50 C ≈ 248.05 yardsTotal Distance Calculation: Calculate the total distance Alex ran. Since Alex ran around the track three times, the total distance D he ran is: D = 3 * C D ≈ 3 * 248.05 D ≈ 744.15 yardsTotal Distance Rounding: Round the total distance to the nearest hundredth of a yard. D ≈ 744.15 yards (This value is already to the nearest hundredth of a yard, so no further rounding is necessary.)

A circular track has an area of $4,900\,\text{yd}^2$ . Alex ran around the whole track three times. How many yards did Alex run, to the nearest hundredth of a yard?

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A circular track has an area of 4,900 yd24,900\,\text{yd}^24,900yd2. Alex ran around the whole track three times. How many yards did Alex run, to the nearest hundredth of a yard?

A circular track has an area of $4,900\,\text{yd}^2$ . Alex ran around the whole track three times. How many yards did Alex run, to the nearest hundredth of a yard?