ind the perimeter of this semi-circle with diameter,
d = 80cm.
Give your answer as an expression in terms of π
well, I am not sure if you are to include the diameter that is the base of the semicircle
so
either
π * 80 /2
or
π * 80/2 + 80
To find the perimeter of a semi-circle, you need to find the circumference of the full circle and then divide it by 2.
The formula for the circumference of a circle is given by:
C = πd
where C represents the circumference and d represents the diameter.
In this case, the diameter, d, is given as 80 cm. So, the circumference of the full circle is:
C = π(80) = 80π cm
To find the perimeter of the semi-circle, we divide the circumference by 2:
Perimeter = C/2 = (80π)/2 = 40π cm.
Therefore, the perimeter of the semi-circle with a diameter of 80cm is 40π cm.
To find the perimeter of a semi-circle, we need to find the length of the curved part, which is half of the circumference of a full circle with the same diameter.
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Since we're dealing with a semi-circle, we only need half of the circumference. Therefore, the formula becomes:
Perimeter of semi-circle = (1/2) * C
Substituting the value of d = 80 cm into the formula, we get:
Perimeter of semi-circle = (1/2) * π * 80 cm
Simplifying:
Perimeter of semi-circle = 40π cm
So, the perimeter of the given semi-circle with a diameter of 80 cm is 40π cm.