Question

The circumference of a circle exceeds its diameter by 45 cm. Find the circumference of the circle.

Answer 1

Let the radius of the circle be r.

Now,

Circumference = Diameter + 45

⇒ 2πr = 2r + 45

⇒ 2πr - 2r = 45

`⇒ 2"r" (22/7 - 1) = 45`

`=> 2"r"xx15/7 = 45`

⇒ r = 10.5 cm

∴ Circumference = Diameter + 45 = 2(10.5) + 45 = 66 cm
Hence, the circumference of the circle is 66 cm.