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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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08 Feb 2018, 23:34
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5% (low)

Question Stats:

94% (00:56) correct 6% (01:27) wrong based on 59 sessions

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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.

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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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08 Feb 2018, 23:43
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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$$\pi$$

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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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09 Feb 2018, 01:21
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$$π$$
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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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09 Feb 2018, 23:15
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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12 Feb 2018, 16:34
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

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Re: If a triangle of base 7 is equal in area to a circle of radius 7, what &nbs [#permalink] 12 Feb 2018, 16:34
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