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Answer :
To find the area of a bicycle wheel with a diameter of 20 inches, we need to use the formula for the area of a circle, which is:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
Here's a step-by-step explanation:
1. Identify the diameter of the wheel:
The diameter is given as 20 inches.
2. Calculate the radius:
The radius is half of the diameter. So, in this case:
[tex]\[ r = \frac{20}{2} = 10 \text{ inches} \][/tex]
3. Use the formula for the area of a circle:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
Since we are using [tex]\(\pi \approx 3.14\)[/tex], we substitute in the values:
[tex]\[ \text{Area} = 3.14 \times (10)^2 \][/tex]
4. Perform the calculation:
[tex]\[ \text{Area} = 3.14 \times 100 = 314 \text{ square inches} \][/tex]
Therefore, the area of the wheel is 314 square inches.
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
Here's a step-by-step explanation:
1. Identify the diameter of the wheel:
The diameter is given as 20 inches.
2. Calculate the radius:
The radius is half of the diameter. So, in this case:
[tex]\[ r = \frac{20}{2} = 10 \text{ inches} \][/tex]
3. Use the formula for the area of a circle:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
Since we are using [tex]\(\pi \approx 3.14\)[/tex], we substitute in the values:
[tex]\[ \text{Area} = 3.14 \times (10)^2 \][/tex]
4. Perform the calculation:
[tex]\[ \text{Area} = 3.14 \times 100 = 314 \text{ square inches} \][/tex]
Therefore, the area of the wheel is 314 square inches.
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