The problem states that a bicycle has tires with a diameter of 26 inches. We need to find the radius and circumference of each tire, rounded to the nearest hundredth.

GeometryCircleRadiusCircumferenceDiameterApproximationUnits
2025/4/27

1. Problem Description

The problem states that a bicycle has tires with a diameter of 26 inches. We need to find the radius and circumference of each tire, rounded to the nearest hundredth.

2. Solution Steps

First, we need to find the radius.
The radius is half of the diameter.
radius=diameter2radius = \frac{diameter}{2}
radius=262=13radius = \frac{26}{2} = 13 inches.
Next, we need to find the circumference.
The formula for the circumference of a circle is:
circumference=2πradiuscircumference = 2 \pi radius
We already know the radius is 13 inches.
circumference=2π(13)circumference = 2 \pi (13)
circumference=26πcircumference = 26 \pi
Using the value of π3.14159\pi \approx 3.14159, we have:
circumference26×3.1415981.68134circumference \approx 26 \times 3.14159 \approx 81.68134
Rounding to the nearest hundredth, we get 81.6881.68 inches.

3. Final Answer

radius: 13.00 in.
circumference: 81.68 in.

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