Question

If the difference between the circumference and radius of a circle is 37 cm, then its area is

(a) 154 cm²

(b) 160 cm²

(c) 200 cm²

(d) 150 cm²

Answer 1

We have given the difference between circumference and radius of the circle.

Let C be the circumference, r be the radius and A be the area of the circle.

Therefore, from the given condition we have

Now we will substitute.

Now we will substitute the value of r in.

Now we will substitute.

Therefore, area of the circle is.

Hence, the correct answer is option (a).