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
Q. 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
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, where r is the radius.
Calculate Half Circumference: First, calculate the circumference of a full circle with radius r=25 feet. Using the formula C=2πr, we get C=2π×25.
Add Diameter and Calculate Total: Perform the calculation: C=2π×25=50π feet. This is the circumference of the full circle.
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 is twice the radius, so d=2×25=50 feet.
Round to Nearest Whole Number: Now, calculate half of the full circumference: 21×50π=25π feet.
Round to Nearest Whole Number: Now, calculate half of the full circumference: 21×50π=25π feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 feet.
Round to Nearest Whole Number: Now, calculate half of the full circumference: 21×50π=25π feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 feet.To get a numerical value, we need to use the approximation π≈3.14159. So, 25π≈25×3.14159.
Round to Nearest Whole Number: Now, calculate half of the full circumference: 21×50π=25π feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 feet.To get a numerical value, we need to use the approximation π≈3.14159. So, 25π≈25×3.14159.Perform the calculation: 25×3.14159≈78.53975 feet.
Round to Nearest Whole Number: Now, calculate half of the full circumference: 21×50π=25π feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 feet.To get a numerical value, we need to use the approximation π≈3.14159. So, 25π≈25×3.14159.Perform the calculation: 25×3.14159≈78.53975 feet.Now, add the diameter to this value to get the total edging needed: 78.53975+50≈128.53975 feet.
Round to Nearest Whole Number: Now, calculate half of the full circumference: 21×50π=25π feet.Add the diameter to half of the circumference to get the total length of edging needed: 25π+50 feet.To get a numerical value, we need to use the approximation π≈3.14159. So, 25π≈25×3.14159.Perform the calculation: 25×3.14159≈78.53975 feet.Now, add the diameter to this value to get the total edging needed: 78.53975+50≈128.53975 feet.Round the total to the nearest whole number: 128.53975 feet rounds to 129 feet.
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