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What is the area of a circle whose circumference is π?

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What is the area of a circle whose circumference is π?  [#permalink]

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New post 17 Jan 2019, 04:47
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (00:44) correct 24% (00:43) wrong based on 28 sessions

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Re: What is the area of a circle whose circumference is π?  [#permalink]

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New post 17 Jan 2019, 05:05
Bunuel wrote:
What is the area of a circle whose circumference is π?

A π/4
B π/2
C π
D 2π
E 4π


C = 2 πr
r = 1/2

Area = π r^2
Answer A => π/4
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Re: What is the area of a circle whose circumference is π?  [#permalink]

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New post 17 Jan 2019, 06:39

Solution


Given:
    • Circumference of a circle = ᴨ

To find:
    • Area of the circle

Approach and Working:
Circumference = 2ᴨr = ᴨ
    • Implies, \(r = \frac{1}{2}\)

Therefore, area = \(ᴨr^2 = ᴨ * (\frac{1}{2})^2 = \frac{ᴨ}{4}\)

Hence, the correct answer is Option A

Answer: A

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What is the area of a circle whose circumference is π?  [#permalink]

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New post 19 Jan 2019, 19:13
Finding area from circumference seems to be asked frequently, so it can't hurt to learn the formula

\(Area = \frac{C^2}{(4π)}\)

We are given that C=π

\(A=\frac{π^2}{4π}\)
\(A=\frac{π}{4}\)
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Re: What is the area of a circle whose circumference is π?  [#permalink]

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New post 20 Jan 2019, 03:02
Bunuel wrote:
What is the area of a circle whose circumference is π?

A π/4
B π/2
C π
D 2π
E 4π

\(2πr = π\)

Thus, \(r = \frac{1}{2}\)

So, Area of the Circle is \(\frac{π}{4}\), Answer must be (A)
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Re: What is the area of a circle whose circumference is π?   [#permalink] 20 Jan 2019, 03:02
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