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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

Options

  • 111 cm2

  •  184 cm2

  • 154 cm2

  • 259 cm2

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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

Radius = 7 cm
Now,
Area of the circle  = πr

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

= 154 cm

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APPEARS IN

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