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A crafts worker is knitting a circular rug that has a diameter of 88 inches. He would like to put trim around the outer edge of the rug. If 1 inch = 2.54 centimeters, how many centimeters of trim would he need? Use π = 3.14 and round to the nearest centimeter.

208 centimeters
257 centimeters
276 centimeters
702 centimeters

User Nullpotent
by
8.1k points

1 Answer

2 votes

Answer: 702 cm

Explanation:

We must first find the circumference of the circle using the circumference formula of

c=πd , or c=π2r

Substitute the given values into the formula

c=88π , or c=88*3.14

c=276.32

The circumference is 276.32 inches, but we need that measurement in centimeters.

In order to convert the inches to centimeters, we can multiply our circumference by the inch/centimeter scalar , 2.54 .

276.32 * 2.54

= 702 (rounded)

User DanielEli
by
7.1k points