The value of `144^(@)` in circular measure =________

Answer

To convert the angle from degrees to radians (circular measure), we can use the relationship between degrees and radians. The formula to convert degrees (D) to radians (R) is:

\[ R = D \times \frac{\pi}{180} \]

Given that \( D = 144^\circ \), we can substitute this value into the formula.

### Step-by-Step Solution:

1. **Write down the formula for conversion:**
\[ R = D \times \frac{\pi}{180} \]

2. **Substitute the value of D:**
\[ R = 144 \times \frac{\pi}{180} \]

3. **Simplify the fraction:**
\[ R = \frac{144\pi}{180} \]

4. **Reduce the fraction:**
- Find the greatest common divisor (GCD) of 144 and 180. The GCD is 36.
- Divide both the numerator and the denominator by 36:
\[ R = \frac{144 \div 36}{180 \div 36} \times \pi = \frac{4\pi}{5} \]

5. **Final answer:**
\[ R = \frac{4\pi}{5} \]

Thus, the value of \( 144^\circ \) in circular measure is \( \frac{4\pi}{5} \).