Test your skills in geometry with the help of this fun riddle.
Triangle BDC, shown in the picture below, has an area of 48 square units.
If ABCD is a rectangle, what is the area of the circle in square units?
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Answer: 36π square units.
As per given information:
Area of Triangle BDC = 48 sqr.units.
We also know the following;
CD = 8.
Let r be the radius of the circle;
Since ABCD is a rectangle;
BC = AD = 2r.
So from the given information we can write;
Area of Triangle = 1/2 b x h
48 = 1/2 (2r x 8);
48 = r x 8;
r = 6.
Area of circle = πr^2 = π6^2 = 36π
Answer = 36π square units.