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20 Aug 2019, 02:28
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What is the area of the circle above with center O?
(1) The area of triangle OAB is 50.
(2) The length of arc ACB is \(15\pi\).
Attachment:
image794.png [ 28.08 KiB | Viewed 2045 times ]
20 Aug 2019, 03:42
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Bunuel
What is the area of the circle above with center O?
(1) The area of OAB is 50.
(2) The length of arc ACB is \(15\pi\).
Attachment:
image794.png
#1
The area of OAB is 50
we have an isoscles ∆ so area ; x^2/2 = 50
x=10 ; area is 100pi
sufficient
#2
The length of arc ACB is \(15\pi\).
angle around c ; 270
so r ; 270/360 * 2*pi * r= 15 pi
solve for r = 10 sufficient
IMO D
20 Aug 2019, 03:56
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