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?

  1. 8.68 cm
  2. 8.84 cm
  3. 7.54 cm
  4. 7.84 cm
Monis Rasool Professor Asked on 14th September 2015 in Maths.
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1 Answer(s)

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

Pushpendra Pal Dean Answered on 14th September 2015.
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