The diameter of a semicircle is 2 centimetres. What is the semicircle's perimeter?
Question
The diameter of a semicircle is 2 centimetres. What is the semicircle's perimeter?
Solution
To calculate the perimeter of a semicircle, you need to add the length of the half circle (which is half the circumference of a full circle) and the diameter.
Step 1: Calculate the circumference of a full circle. The formula for the circumference of a circle is πd (pi times the diameter). Here, the diameter is 2 cm, so the full circumference would be 2π cm.
Step 2: Since we are dealing with a semicircle (half a circle), we take half of the full circumference. So, half of 2π cm is π cm.
Step 3: Add the diameter to the half circumference to get the perimeter of the semicircle. So, π cm (half circumference) + 2 cm (diameter) = π + 2 cm.
So, the perimeter of the semicircle is π + 2 cm.
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