cumulonimbus
Hi Karishma,
In a question where one of the options is "None of the above" can we still test options?
Also with r=5, Q=360/pi = 2 deg, is it correct? quite unintuitive.
My initial thought was > for a given parameter equilateral triangle has the largest area.
Wouldn't the area of triangle + sector largest when the triangle on which sector is formed is equilateral??
As the original poster said, this is not a GMAT question. GMAT questions do not have 'None of the above' as an option. So you can test options in GMAT if the question permits.
\(2*\pi\) radians = 360 degrees (just like 1 km = 1000 m) (Recall that \(\pi = 3.1416\) approx)
So about 6.28 radians = 360 degrees
As for our question:
Qr = 20 - 2r (where Q is in radians since we used \(Q/2\pi\) in the formula)
Put r = 5 here, you get Q = 2 radians (not degrees)
2 radians = \(360/\pi\) degrees = 114.6 degrees
Also why would you assume that it must be equilateral? What is the logic behind that? It is a sector we are talking about, not a triangle.