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# The side length of a square inscribed in a circle is 2. What is the ar

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
The side length of a square inscribed in a circle is 2. What is the ar  [#permalink]

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09 Oct 2018, 22:44
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

73% (00:40) correct 27% (00:40) wrong based on 19 sessions

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The side length of a square inscribed in a circle is 2. What is the area of the circle?

(A) $$\pi$$

(B) $$\sqrt{2} \pi$$

(C) $$2\pi$$

(D) $$2 \sqrt{2} \pi$$

(E) $$\pi^2$$

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Re: The side length of a square inscribed in a circle is 2. What is the ar  [#permalink]

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09 Oct 2018, 22:54
1
Side of square inscribed in a circle is =2
Diagonal of square = diameter of circle = 2(2)^1/2

=2 x pi
Option :C

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The side length of a square inscribed in a circle is 2. What is the ar  [#permalink]

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10 Oct 2018, 01:04
Bunuel wrote:
The side length of a square inscribed in a circle is 2. What is the area of the circle?

(A) $$\pi$$

(B) $$\sqrt{2} \pi$$

(C) $$2\pi$$

(D) $$2 \sqrt{2} \pi$$

(E) $$\pi^2$$

Area of the square = 2^2 = 4

Another way to find out area of the square = (1/2)*$$d^2$$.

(1/2)$$d^2$$ = 4

d = $$\sqrt{8}$$

Diameter =$$\sqrt{8}$$

Area of the circle = pie * $$r^2$$

= pie* $$((\sqrt{8})/2)^2$$
= 2 pie.

The side length of a square inscribed in a circle is 2. What is the ar   [#permalink] 10 Oct 2018, 01:04
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