If the radius of a circle is 5 cm, what is the total circumference when rounded to the nearest decimal place?

If the radius of a circle is 5 cm, what is the total circumference when rounded to the nearest decimal place?

• A. 31.4 cm
• B. 25.1 cm
• C. 28.3 cm
• D. 30.5 cm

Answer: (A)

To find the circumference of a circle, you can use the formula: \[ C = 2\pi r \] where \( C \) is the circumference and \( r \) is the radius. In this case, the radius is given as 5 cm. Plugging the value into the formula: \[ C = 2 \times \pi \times 5 \] This simplifies to: \[ C = 10\pi \] Using the approximate value of \( \pi \) as 3.14, you can calculate: \[ C \approx 10 \times 3.14 = 31.4 \, \text{cm} \] When rounded to the nearest decimal place, the circumference is 31.4 cm. Thus, the correct choice reflects the accurate calculation following the mathematical principles of finding a circle's circumference.

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

[ C = 2\pi r ]

where ( C ) is the circumference and ( r ) is the radius. In this case, the radius is given as 5 cm.

Plugging the value into the formula:

[ C = 2 \times \pi \times 5 ]

This simplifies to:

[ C = 10\pi ]

Using the approximate value of ( \pi ) as 3.14, you can calculate:

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

When rounded to the nearest decimal place, the circumference is 31.4 cm. Thus, the correct choice reflects the accurate calculation following the mathematical principles of finding a circle's circumference.