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A chainsaw has a chain that goes around the

rectangular shape with semi-circles on either
end called a 'bar'.The bar's dimensions are
shown for the chainsawshown. What is the most
appropriate length of chain that goes around
the perimeter of the bar?

1 Answer

6 votes

Final answer:

To find the appropriate length of chain for a chainsaw bar, calculate the perimeter of the rectangular part and the circumference of the circle formed by the semi-circles at the ends, then sum them together.

Step-by-step explanation:

To determine the appropriate length of the chain that goes around the perimeter of the bar of a chainsaw, we must consider the bar's rectangular shape and the semi-circles at either end. The length of chain required is equal to the perimeter of the rectangle plus the circumferences of the two semi-circles (which together make a full circle).

The formula for the perimeter (P) of a rectangle is P = 2×length + 2×width. For the circumference (C) of a circle, the formula is C = π×diameter, which is equal to 2×π×radius.

Adding the perimeter of the rectangle and the circumference of the circle gives us the total length of chain needed:

Total Chain Length = P(rectangle) + C(circle)

Once all the measurements are known, plug them into the formulas and sum them up to get the total chain length required.

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