The radius of a semicircle is 19 miles. What is the semicircle's perimeter?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. miles
Question
The radius of a semicircle is 19 miles. What is the semicircle's perimeter?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. miles
Solution
To find the perimeter of a semicircle, you need to calculate the circumference of the full circle and then divide it by 2, then add the diameter to this result.
Step 1: Calculate the diameter of the circle. The diameter is twice the radius, so it's 2 * 19 = 38 miles.
Step 2: Calculate the circumference of the full circle. The formula for the circumference of a circle is C = πd. Substituting the given values, we get C = 3.14 * 38 = 119.32 miles.
Step 3: Divide the circumference by 2 to get the length of the semicircle's curved part. So, 119.32 / 2 = 59.66 miles.
Step 4: Add the diameter to this result to get the total perimeter of the semicircle. So, 59.66 + 38 = 97.66 miles.
So, the perimeter of the semicircle is approximately 97.66 miles, rounded to the nearest hundredth.
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