The radius of a semicircle is 18 miles. What is the semicircle's perimeter?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Question
The radius of a semicircle is 18 miles. What is the semicircle's perimeter?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
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 of the circle.
Step 1: Calculate the circumference of the full circle. The formula for the circumference of a circle is 2πr, where r is the radius.
So, the circumference of the full circle is 2 * 3.14 * 18 = 113.04 miles.
Step 2: Since we are looking for the perimeter of a semicircle, we divide the circumference by 2.
So, the half of the circumference is 113.04 / 2 = 56.52 miles.
Step 3: Add the diameter of the circle to the half of the circumference. The diameter of the circle is 2r, so in this case it's 2 * 18 = 36 miles.
So, the perimeter of the semicircle is 56.52 + 36 = 92.52 miles.
Therefore, the perimeter of the semicircle is approximately 92.52 miles, rounded to the nearest hundredth.
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