The difference between the circumference and the radius of a circle is 37 cm. The area of the circle is:

Correct option is B

Given:

Difference between the circumference and the radius of a circle = 37 cm

Formula Used:
Circumference of a circle =$$2\pi r$$​​
Area of a circle = $$\pi r^2$$​​

Solution:
Given:
2πr − r = 37
r (2π − 1) = 37

Using $$\pi \approx \frac{22}{7}:$$​​

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

r $$\times \frac{37}7=37$$​​

r = 7 cm

Now, Area $$= \pi r^2 = \frac{22}{7} \times 7^2 = \frac{22}{7} \times 49 = 154 \, \text{cm}^2$$​​