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gmatbusters

Yes, that's the whole point. Double-check all the info before you pick this answer.
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Hi,

I'm wondering how we can determine the area of a circle equals to 10pi?
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DarleneTran
Hi,

I'm wondering how we can determine the area of a circle equals to 10pi?

Hi DarleneTran,
Its NOT 10\(\pi\) its " Cannot be determined ", you probably got confused with option B.
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The lengths of two sides in a right-angle triangle are 6 cm and 8 cm. If this right-angle triangle is inscribed in a circle, then what is the area of the circle?
A. cannot be determined
B. 10 pi
C. 15 pi
D. 20 pi
E. 25 pi

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GMATBusters: Kindly recheck the OA as you have mentioned that the triangle is a right angle triangle with sides 6 and 8.

Radius of the circle will be half the hypotenuse. Hence, r = 5

Area = 25 pi

OA to be E.

Smilar Question: https://gmatclub.com/forum/the-lengths- ... fl=similar
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Hi

you have fallen into the trap.

if in a right-angled triangle, two sides are 6 and 8, it doesn't mean the third side = 10.
the third side can be \(\sqrt{64-36} = \sqrt{28} \)also.

Actually it depends on which sides are 6,8.
if 6 and 8 are the perpendicular sides, the Hypotenuse = 10.
if 8 is the hypotenuse, then the third side = \(\sqrt{28}\)
So, the answer is A.

Happy Learning

nkme2007
GMATBusters
The lengths of two sides in a right-angle triangle are 6 cm and 8 cm. If this right-angle triangle is inscribed in a circle, then what is the area of the circle?
A. cannot be determined
B. 10 pi
C. 15 pi
D. 20 pi
E. 25 pi

GMATbuster's Collection

GMATBusters: Kindly recheck the OA as you have mentioned that the triangle is a right angle triangle with sides 6 and 8.

Radius of the circle will be half the hypotenuse. Hence, r = 5

Area = 25 pi

OA to be E.

Smilar Question: https://gmatclub.com/forum/the-lengths- ... fl=similar
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GMATBusters
Hi

you have fallen into the trap.

if in a right-angled triangle, two sides are 6 and 8, it doesn't mean the third side = 10.
the third side can be \(\sqrt{64-36} = \sqrt{28} \)also.

Actually it depends on which sides are 6,8.
if 6 and 8 are the perpendicular sides, the Hypotenuse = 10.
if 8 is the hypotenuse, then the third side = \(\sqrt{28}\)
So, the answer is A.

Happy Learning

nkme2007
GMATBusters
The lengths of two sides in a right-angle triangle are 6 cm and 8 cm. If this right-angle triangle is inscribed in a circle, then what is the area of the circle?
A. cannot be determined
B. 10 pi
C. 15 pi
D. 20 pi
E. 25 pi

GMATbuster's Collection

GMATBusters: Kindly recheck the OA as you have mentioned that the triangle is a right angle triangle with sides 6 and 8.

Radius of the circle will be half the hypotenuse. Hence, r = 5

Area = 25 pi

OA to be E.

Smilar Question: https://gmatclub.com/forum/the-lengths- ... fl=similar

Yah.. Correct.

Thank You.

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Option E: 25 PI is correct because if hypotenuse of the triangle would have been 8 than area of the circle would have been 16 pi, hypotenuse would have become the diameter of the triangle but no such option is present.
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