Find the circumference of a circle with a diameter of 10 cm.

Find the circumference of a circle with a diameter of 10 cm.

• A. 25.12 cm
• B. 31.42 cm
• C. 31.16 cm
• D. 20.00 cm

Answer: (B)

To find the circumference of a circle, you can use the formula: \[ C = \pi \times d \] where \( C \) represents the circumference and \( d \) represents the diameter of the circle. In this case, the diameter is given as 10 cm. Substituting the diameter into the formula gives: \[ C = \pi \times 10 \, \text{cm} \] Using the approximate value of \( \pi \) as 3.14, the calculation becomes: \[ C \approx 3.14 \times 10 \, \text{cm} = 31.4 \, \text{cm} \] Rounding this to two decimal places results in 31.42 cm. Therefore, this is the correct circumference for a circle with a diameter of 10 cm, confirming that the answer matches the choice provided. This formula is fundamental in geometry and highlights the direct relationship between a circle's diameter and its circumference.

To find the circumference of a circle, you can use the formula:

[

C = \pi \times d

]

where ( C ) represents the circumference and ( d ) represents the diameter of the circle. In this case, the diameter is given as 10 cm.

Substituting the diameter into the formula gives:

[

C = \pi \times 10 , \text{cm}

]

Using the approximate value of ( \pi ) as 3.14, the calculation becomes:

[

C \approx 3.14 \times 10 , \text{cm} = 31.4 , \text{cm}

]

Rounding this to two decimal places results in 31.42 cm. Therefore, this is the correct circumference for a circle with a diameter of 10 cm, confirming that the answer matches the choice provided. This formula is fundamental in geometry and highlights the direct relationship between a circle's diameter and its circumference.