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If a triangle of base 7 is equal in area to a circle of radius 7, what

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If a triangle of base 7 is equal in area to a circle of radius 7, what [#permalink]

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New post 09 Feb 2018, 00:34
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A
B
C
D
E

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If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: If a triangle of base 7 is equal in area to a circle of radius 7, what [#permalink]

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Area of a circle=\(\pi\)\(r^2\)= \(\pi\)\((7)^2\)= 49\(\pi\)

Area of a triangle= \(\frac{1}{2}\)*7*h

Area of a triangle= Area of a circle

\(\frac{1}{2}\)*7*h= 49\(\pi\)

h= 14\(\pi\)

So, Altitude of a triangle= 14\(\pi\)

Answer: D.
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Re: If a triangle of base 7 is equal in area to a circle of radius 7, what [#permalink]

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New post 09 Feb 2018, 02:21
Bunuel wrote:
If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.


Area of triangle = Area of circle
Area of circle = A = \(πr^2\) = \(π 7^2\)
Area of triangle = \(\frac{1}{2}\) x base x altitude = \(\frac{1}{2}\) x 7 x h = \(π 7^2\)
h = 14\(π\)
Answer D
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Re: If a triangle of base 7 is equal in area to a circle of radius 7, what [#permalink]

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New post 10 Feb 2018, 00:15
Bunuel wrote:
If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.

Anwer Is D option as 1/2*7*H= \(49\pi\)
H= \(49\pi\)*2/7
H= \(14\pi\)
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Re: If a triangle of base 7 is equal in area to a circle of radius 7, what [#permalink]

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New post 12 Feb 2018, 17:34
Bunuel wrote:
If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.


We can create the equation by equating the area of the triangle and the area of the circle:

7h/2 = π7^2

7h/2 = 49π

7h = 98π

h = 14π

Answer: D
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Re: If a triangle of base 7 is equal in area to a circle of radius 7, what   [#permalink] 12 Feb 2018, 17:34
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