find the perimeter of this semi-circle with diameter,
d= 28cm.
Give your answer as an expression in terms of π (pi)
To find the perimeter of a semicircle, you will need to calculate the length of the curved portion (half the circumference) and add it to the diameter.
Step 1: Find the length of the curved portion:
The circumference of a full circle is given by the formula C = πd, where C is the circumference and d is the diameter.
The circumference of a semicircle is half of that, so the curved portion of the semicircle is C/2.
In this case, the diameter (d) is given as 28 cm. So the circumference (C) of the full circle is:
C = πd = π(28) = 28π cm
Now calculate the length of the curved portion by dividing the circumference by 2:
Curved portion = C/2 = (28π)/2 = 14π cm
Step 2: Add the length of the curved portion to the diameter:
Perimeter = Curved portion + Diameter = 14π + 28 cm
Therefore, the perimeter of the semicircle with a diameter of 28 cm is given as an expression in terms of π as 14π + 28 cm.
what do you mean
arc length: πd
straight side: d
so add them up