I think there is agreement that A is the answer. The fact that we do have specific numbers means D cannot be the answer in any case.

We have precise refernces

teshu325 how can OF be the height? Carcass kindly share your solution

itwasmaroon

why not? we can draw a line and make OF as height!

teshu325 height must be perpendicular to the base.

My solution



We know the radius that is 4. Therefore, the other radius is also 4. An d the diameter is 2R=8

The height of the triangle is also the radius, which is 4

We can calculate the area of the 1 and 2 triangle

\(A=\frac{ 1}{2}* b*h=\frac{1}{2}*4*4=8
\)

Add up the two areas \(8+8=16
\)

A is the answer.

I do not see any other possible solution

Not true in the sense we do not have any information about its scale.

The figure could be also this way and the height is perpendicular to the base

D should be the answer.

Because the EF and FG could be any lengths.

Let EF=FG=x (for Maximum Area)
So, 8^2= EF^2+FG^2
2x^2=64
x=32^1/2

Now Area= 1/2*EF*FG = 16 which is greater than 12.

But, lets minimise the Area, by keeping EF =7.99
In that case FG^2 = 64-63.84 = .1599 ~ .16 and FG = 0.4
Area becomes = 1/2 * 7.99 * 0.4 which is definitely less than 12

So, answer should be option D

Ef and FG is it true that I do not know the length but I have two sides and this is enough to calculate.