Question

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The circumference of a roll of party streamers is 11 inches. The circumference decreases by 3 inches after you use the streamers to decorate for a birthday party. Find the diameter of the roll after the decrease.

Answer 1

The diameter is 2.5464790895 or you could do 2 1/2

Answer 2

Diameter of the roll after the decrease = 2.54 inches

Explanation:

Circumference of a roll of party streamers = 11 inches

Circumference of the circle is given by = 2π × radius

Now, circumference of the streamers is decreased by 3 inches

⇒ Decreased circumference of the streamers = 11 - 3 = 8 inches

To find radius of the decreased circumference streamers :

2π × radius = 8

⇒ Radius = 1.27 inches

Hence, Diameter of the roll after the decrease = 2 × 1.27

= 2.54 inches