Find the perimeter of this semi-circle with diameter, d= 28cm.
Give your answer as an expression in terms of π.
To find the perimeter of a semi-circle, we need to find the sum of the curved part (half the circumference) and the straight part (the diameter).
First, let's find the circumference of the full circle with diameter d=28 cm. The circumference of a circle is calculated using the formula C = πd, where C is the circumference and d is the diameter.
C = π * 28 cm = 28π cm
Since we only need half of the circumference for the semi-circle, the curved part would be 1/2 * 28π cm.
The straight part is the diameter itself, which is 28 cm.
So, the perimeter of the semi-circle is:
Perimeter = curved part + straight part
= 1/2 * 28π cm + 28 cm
= 14π cm + 28 cm
Therefore, the perimeter of the semi-circle, expressed in terms of π, is 14π cm + 28 cm.