Find the perimeter of the figure. #14 and #15

For 14, we already are given the lengths of every "side" except for one- the curve or the semi-circle's perimeter.

To find the perimeter of the half circle, we simply take the formula for the perimeter of a full circle and divide by two.

This is the formula for the circumference of a circle (circumference is simply the word for perimeter as it pertains to circles):

C in the above equation means circumference. r is the radius (the measure between any part on the curve of a circle from the center).

Okay, so now that we got all of that out of the way, we can plug our values in to get what a full perimeter of a circle would be:

For our curve, we want to divide the above in half, since we're dealing with the perimeter of only half a circle.

Therefore the perimeter of the figure is


There are approximately 91.44 cm per yard, so:

Since one yard is worth $27, then we multiply to see how much this figure's perimeter is worth:

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For 15, we know that we have 6 sides of 3cm so together that's 18cm.

To find the length of the diameter of each semi-circle we take the given lengths of 3cm on each end (there are two) and subtract from the 12cm we are told is the full linear measure. 12- 2*3=6.

Therefore 6cm is the diameter of each semi-circle. We need the radius to find their circumferences, so we divide the diameter in two (since the diameter is two times the length of the radius.
6÷2=3.

Now, to since we have two semi-circles we can just find the circumference of a full circle with these dimensions.

Remember,

so, c in our case would be equal to

The 18cm from the other side give us a total perimeter of:

There are 91.44 cm per yard, so

Since each yard costs $27, then