MAH-CET 2026 — Mathematics PYQ

Let us solve this problem step-by-step using standard algebraic formulas for a circle.

Step 1: Set up the equation using given conditions

Let the radius of the circle be $r\text{ cm}$.

The formulas related to a circle are:

• $\text{Circumference}=2\pi r$

• $\text{Area}=\pi r^2$

According to the question, the difference between the circumference and the radius is $37\text{ cm}$. We can express this as:

$$2\pi r-r=37$$

Step 2: Solve for the radius ($r$)

Factor out the common term $r$ from the left side of the equation:

$$r(2\pi -1)=37$$

Substitute the standard approximation value of $\pi =\frac{22}{7}$:

$$r\left(2\times \frac{22}{7}-1\right)=37$$

$$r\left(\frac{44}{7}-1\right)=37$$

Take the common denominator inside the parentheses:

$$r\left(\frac{44-7}{7}\right)=37$$

$$r\left(\frac{37}{7}\right)=37$$

Now, solve for $r$:

$$r=37\times \frac{7}{37}$$

$$r=7\text{ cm}$$

The radius of the circle is $7\text{ cm}$.

Step 3: Calculate the area of the circle

Now use the radius value to find the area:

$$\text{Area}=\pi r^2$$

$$\text{Area}=\frac{22}{7}\times 7\times 7$$

Cancel out the common factor of $7$:

$$\text{Area}=22\times 7$$

$$\text{Area}=154{\text{ cm}}^2$$

Conclusion

The area of the circle is $154{\text{ cm}}^2$.

Hence, the correct option is (b) 154.