Area Ratio
Tested in 3 real MPSC questions across 1 year (2020–2020). See it in context on the interactive Concept Graph →
Years it was asked
What you need to know first
Area of CircleArea of SquareProperties of Equilateral TriangleCircle GeometryBasic geometryRatio Concepts
Real questions that test this
एका वर्तुळात समभुज त्रिकोण अंतर्लिखित केला आहे. वर्तुळाचे क्षेत्रफळ त्रिकोणाच्या क्षेत्रफळाच्या तुलनेत किती पट आहे हे निर्देशित करणारा पर्याय निवडा.
1)3/√π
2)3π/4
3)4π/(3√3)✓ Correct
4)3
Let side of equilateral triangle be s. Radius of circumscribed circle R = s/√3. Area of circle = πR² = πs²/3. Area of equilateral triangle = (√3/4)s². Ratio of circle area to triangle area simplifies to 4π / (3√3).