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Another garden is in the shape of a semicircle with a radius of 25 feet. Edging is placed around this garden.
How much edging, in feet, is needed to go around this garden? Round to the nearest whole number.
Enter your answer in the box.

◻ feet

Another garden is in the shape of a semicircle with a radius of 2525 feet. Edging is placed around this garden.\newlineHow much edging, in feet, is needed to go around this garden? Round to the nearest whole number.\newlineEnter your answer in the box.\newline \square feet

Full solution

Q. Another garden is in the shape of a semicircle with a radius of 2525 feet. Edging is placed around this garden.\newlineHow much edging, in feet, is needed to go around this garden? Round to the nearest whole number.\newlineEnter your answer in the box.\newline \square feet
  1. Calculate Circumference: To find the length of edging needed for a semicircle, we need to calculate the perimeter of the semicircle. The perimeter of a semicircle is half the circumference of a full circle plus the diameter (the straight edge of the semicircle). The formula for the circumference of a full circle is C=2πr C = 2\pi r , where r r is the radius.
  2. Calculate Half Circumference: First, calculate the circumference of a full circle with radius r=25 r = 25 feet. Using the formula C=2πr C = 2\pi r , we get C=2π×25 C = 2\pi \times 25 .
  3. Add Diameter and Calculate Total: Perform the calculation: C=2π×25=50π C = 2\pi \times 25 = 50\pi feet. This is the circumference of the full circle.
  4. Approximate Pi and Calculate: Since we only need the edging for a semicircle, we take half of the full circumference and add the diameter to get the perimeter of the semicircle. The diameter d d is twice the radius, so d=2×25=50 d = 2 \times 25 = 50 feet.
  5. Round to Nearest Whole Number: Now, calculate half of the full circumference: 12×50π=25π \frac{1}{2} \times 50\pi = 25\pi feet.
  6. Round to Nearest Whole Number: Now, calculate half of the full circumference: 12×50π=25π \frac{1}{2} \times 50\pi = 25\pi feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 25\pi + 50 feet.
  7. Round to Nearest Whole Number: Now, calculate half of the full circumference: 12×50π=25π \frac{1}{2} \times 50\pi = 25\pi feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 25\pi + 50 feet.To get a numerical value, we need to use the approximation π3.14159 \pi \approx 3.14159 . So, 25π25×3.14159 25\pi \approx 25 \times 3.14159 .
  8. Round to Nearest Whole Number: Now, calculate half of the full circumference: 12×50π=25π \frac{1}{2} \times 50\pi = 25\pi feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 25\pi + 50 feet.To get a numerical value, we need to use the approximation π3.14159 \pi \approx 3.14159 . So, 25π25×3.14159 25\pi \approx 25 \times 3.14159 .Perform the calculation: 25×3.1415978.53975 25 \times 3.14159 \approx 78.53975 feet.
  9. Round to Nearest Whole Number: Now, calculate half of the full circumference: 12×50π=25π \frac{1}{2} \times 50\pi = 25\pi feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 25\pi + 50 feet.To get a numerical value, we need to use the approximation π3.14159 \pi \approx 3.14159 . So, 25π25×3.14159 25\pi \approx 25 \times 3.14159 .Perform the calculation: 25×3.1415978.53975 25 \times 3.14159 \approx 78.53975 feet.Now, add the diameter to this value to get the total edging needed: 78.53975+50128.53975 78.53975 + 50 \approx 128.53975 feet.
  10. Round to Nearest Whole Number: Now, calculate half of the full circumference: 12×50π=25π \frac{1}{2} \times 50\pi = 25\pi feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 25\pi + 50 feet.To get a numerical value, we need to use the approximation π3.14159 \pi \approx 3.14159 . So, 25π25×3.14159 25\pi \approx 25 \times 3.14159 .Perform the calculation: 25×3.1415978.53975 25 \times 3.14159 \approx 78.53975 feet.Now, add the diameter to this value to get the total edging needed: 78.53975+50128.53975 78.53975 + 50 \approx 128.53975 feet.Round the total to the nearest whole number: 128.53975 128.53975 feet rounds to 129 129 feet.

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