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

Let the radius if circle be r

Circumference of circle = 2πr

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

⇒ 2πr – r = 37 cm

⇒ 2 × 22/7 × r – r = 37 cm

⇒ 44/7 × r – r = 37 cm

⇒ (44/7 – 1) × r = 37 cm

⇒ 37/7 × r = 37 cm

⇒ r = 37 × 7/37

⇒ r = 7 cm

Area of circle = πr^{2}

= 22/7 × 7 × 7 cm^{2}

= 22/7 × 49 cm^{2} = 22 × 7 cm^{2} = 154 cm^{2}

∴ Area of the circle is 154 cm^{2}

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