The area of a circle is 38.5 cm^{2}. The circumference of the circle is

Let the radius if circle be r

Given, Area of circle = 38.5 cm^{2}

Area of circle = πr^{2}

⇒ πr^{2} = 38.5

Since π = 22/7

⇒ 22/7 × r^{2}= 38.5

⇒ r^{2} = 38.5 × (7/22)

⇒ r^{2} = 12.25

⇒ r = √12.25 = 3.5 cm

∴ Radius of circle = 3.5 cm

Circumference of circle = 2πr

= 2 × 22/7 × 3.5 cm

= 22 cm

∴ Circumference of the circle is 22 cm

Let the radius if circle be r

Given, Area of circle = 38.5 cm^{2}

Area of circle = πr^{2}

πr^{2} = 38.5

Since = 22/7

∴ πr^{2} = 38.5

⇒ 22/7 × r^{2} = 38.5

⇒ r^{2} = 12.25

⇒ r = √12.25 = 3.50cm

∴ Radius of circle = 3.5 cm

Circumference of circle = 2πr

= 2 × 22/7 × 3.5

= 22 cm

∴ Circumference of the circle is 22 cm

1