Find the perimeter of this semi-circle with diameter, d= 41cm.

Give your answer rounded to 1 DP.

Why did the circle go to the theater? Because it wanted to see a semi-circular play! Now, to find the perimeter of your semi-circle with a diameter of 41 cm, we need to find the circumference of the entire circle and then divide it by 2. The formula for the circumference of a circle is C = πd, where d is the diameter. So, the perimeter of your semi-circle is approximately (π * 41) / 2 = 64.3 cm when rounded to 1 decimal place.

To find the perimeter of a semicircle, we need to find the circumference of the complete circle and then divide it by 2.

The formula for the circumference of a circle is C = πd, where "C" is the circumference and "d" is the diameter.

Given that the diameter (d) of the semicircle is 41 cm, we can calculate its circumference (C) as follows:

C = πd
C = π * 41
C ≈ 128.82 cm (rounded to 2 decimal places)

To find the perimeter of the semicircle, we divide the circumference (C) by 2:

Perimeter = C/2
Perimeter ≈ 128.82/2
Perimeter ≈ 64.41 cm (rounded to 1 decimal place)

Therefore, the perimeter of the semi-circle is approximately 64.4 cm (rounded to 1 decimal place).

To find the perimeter of a semicircle, you need to calculate the length of the curved boundary of the semicircle.

Step 1: Calculating the circumference of the complete circle
The diameter (d) of the semicircle is given, so we can find the radius (r) by dividing the diameter by 2:
r = d/2 = 41 cm/2 = 20.5 cm

The circumference (C) of a complete circle with radius r can be calculated using the formula:
C = 2πr, where π is a constant approximately equal to 3.14159.

Plugging in the value of r in the formula, we get:
C = 2(3.14159)20.5 cm
C ≈ 128.66 cm (rounded to 2 decimal places)

Step 2: Finding the perimeter of the semicircle
Since a semicircle is just half of a complete circle, the perimeter of the semicircle is half of the circumference of the complete circle.

Perimeter of the semicircle = C/2 = 128.66 cm/2 = 64.33 cm

Therefore, the perimeter of the given semicircle, rounded to 1 decimal place, is 64.3 cm.

the perimeter of a semi-circle is half of the circumference plus the diameter

p = (41 * π / 2) + 41