The image shows a circle with a radius of 60 cm, and there is an angle marked $\angle POQ = 135^\circ$. The question asks for the circumference of the circle.

To calculate the circumference $C$ of a full circle, we use the formula:

$C = 2\pi r$

where $r$ is the radius.

Given:

• $r = 60 \, \text{cm}$

Substitute the radius into the formula:

$C = 2\pi \times 60 = 120\pi \, \text{cm}$

Now, $\pi$ is approximately 3.1416, so:

$C \approx 120 \times 3.1416 = 376.99 \, \text{cm}$

Thus, the circumference of the circle is approximately $376.99 \, \text{cm}$.

Would you like any further details or explanations?

Here are 5 follow-up questions related to the topic:

1. How would you calculate the arc length for a given angle in a circle?
2. What is the relationship between radius and diameter in terms of circumference?
3. How would you find the area of the circle using the same radius?
4. What fraction of the circle is subtended by the 135° angle?
5. How does changing the radius affect the circumference?

Tip: To approximate more accurate values for problems involving $\pi$, it's often useful to keep the symbol $\pi$ until the final step.