High School

The circumference of a circular table is 176 cm. What is its diameter?

Answer :

To find the diameter of a circular table when the circumference is given, we can use the formula for the circumference of a circle, which is:

[tex]\[ C = \pi \times \text{diameter} \][/tex]

Given:
- Circumference ([tex]\(C\)[/tex]) = 176 cm

We need to solve for the diameter. Rearrange the formula to find the diameter:

[tex]\[ \text{diameter} = \frac{C}{\pi} \][/tex]

Next, substitute the given circumference into the formula:

[tex]\[ \text{diameter} = \frac{176}{\pi} \][/tex]

Approximating [tex]\(\pi\)[/tex] as 3.14159, the calculation becomes:

[tex]\[ \text{diameter} = \frac{176}{3.14159} \][/tex]

This gives:

[tex]\[ \text{diameter} \approx 56.02 \, \text{cm} \][/tex]

So, the diameter of the circular table is approximately 56.02 cm.