Distance of a Pie (Circumference calculation)
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Distance of a Pie
DIRECTIONS: Find the distance around the following pies. Use $3.14$ as $\pi$ to solve for each pie's circumference.
5. $D = 6 \text{ YD}$, $C = \dots$
6. $R = 9 \text{ MM}$, $C = \dots$
7. $D = 4 \text{ FT}$, $C = \dots$
8. $R = 7 \text{ KM}$, $C = \dots$
This question includes visual content: The image shows a worksheet titled 'Distance of a Pie'. There are several circular 'pie' drawings with scalloped edges. Inside each circle, either a diameter (a line across the center) or a radius (a line from the center to the edge) is drawn with its length labeled. There are two visible columns of questions. Column 2 contains: 5. A circle with a diameter labeled '$D = 6 \text{ YD}$'. 6. A circle with a radius labeled '$R = 9 \text{ MM}$'. 7. A circle with a diameter labeled '$D = 4 \text{ FT}$'. 8. A circle with a radius labeled '$R = 7 \text{ KM}$'. Partial views of column 1 show diameters like '$D = 3 \text{ M}$' and radii like '$R = 8 \text{ IN}$'. Each question has a space labeled '$C =$' for the answer.
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Step by Step Written Solution
In this exercise, we are calculating the circumference, or the distance around, various pies. The instructions tell us to use 3.14 as the value for pi.
Calculating Circumference
Note: Use $\pi \approx 3.14$
There are two formulas we can use. If we are given the diameter 'd', the circumference 'C' equals pi times 'd'. If we are given the radius 'r', it equals two times pi times 'r'.
Let's solve problem number five. Here, we are given a diameter of six yards.
Problem 5
Multiplying three point one four by six gives us eighteen point eight four yards.
For problem six, we are given a radius of nine millimeters.
Problem 6
Calculating this, two times nine is eighteen, and eighteen times three point one four is fifty-six point five two millimeters.
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