Ratio of circle and triangle

Geometry Level pending

The ratio of (area) ◯DFJE and $\triangle DEF$ can be written as $100\pi : a \sqrt{b}$ , where $a$ and $b$ are integers.

Which of the following options could be a value of $a+b$ ?

[ $A$ is the center of the large circle and $C$ is the center of the small circle]

6 60 75 90 100 None of the above Not enough information

1 solution

Saad Khondoker
Mar 4, 2021

[here $78$ is not in the option so $90$ is the answer. there can also be other answers but they are not in the option.]

This is needlessly confusing. Please replace '90' with '78' so that the radicand is in its properly reduced form.

tom engelsman - 3 months, 1 week ago

Thanks. I've updated the problem statement to reflect this.

In the future, if you have concerns about a problem's wording/clarity/etc., you can report the problem. See how here .

Brilliant Mathematics Staff - 3 months, 1 week ago