# The Difference Between the Circumference and Radius of a Circle is 37 Cm. the Area of the Circle is - Mathematics

MCQ

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

• 111 cm2

•  184 cm2

• 154 cm2

• 259 cm2

#### Solution

154 cm2

Let the radius be r cm.

We know:

Circumference of the circle = 2πr

Thus, we have:

2πr - r = 37

⇒ r (2π - 1) = 37

⇒ "r" (2xx22/7-1) = 37

=>  "r" (37/7) = 37

=>  "r" = (37xx7/37)

⇒  r = 7 cm

Now,
Area of the circle  = πr

=(22/7xx7xx7) "cm"^2

= 154 cm

Is there an error in this question or solution?

#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Multiple Choice Questions | Q 3 | Page 846