Mathematics · Geometry

A rectangle ABCD is inscribed in a circle of radius r. If the angle between a diagonal and a side is 30°, what is the ratio of the area of the circle to the area of the rectangle?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

13π√2
2π√3✓
32π√3
4π√2

Correct answer

π√3

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A rectangle ABCD is inscribed in a circle of radius r. If the angle between a diagonal and a side is 30°, what is the ratio of the area of the circle to the area of the rectangle?

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A rectangle ABCD is inscribed in a circle of radius r. If the angle between a diagonal and a side is 30°, what is the ratio of the area of the circle to the area of the rectangle?

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