# What will be the Diameter of the Circle? If

If the circumference of a circle is 18.6 cm more that its diameter, then what is the diameter of the circle?

- 8.68 cm
- 8.84 cm
- 7.54 cm
- 7.84 cm

Answer: **Diameter of Circle = 8.68 cm**

**Explanation: **

According to the data provided in question,

Circumference of circle = Diameter of circle + 18.6 — Eqn (1)

**Circumference of circle = 2πr** ; (where r is radius)

as 2r = D ; D = diameter of circle

Hence, Circumference = πD — Eqn (2)

Putting values of Eqn (1) and Eqn (2)

D + 18.6 = πD

πD – D = 18.6

D(π – 1) = 18.6

D (3.1415 – 1) = 18.6

D (2.1415) = 18.6

D = 18.6 / 2.1415 = 8.6855

Diameter of circle = 8.68 cm