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A rhombus is formed by two radii and two chords of a circle whose radius is 16 feet. The area of the rhombus in square feet is:

A rhombus is formed by two radii and two chords of a circle whose radius is 16 feet. The area of the rhombus in square feet is:

Grade:10

1 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
The rhombus lies in the cricle with 3 vertices of the rhombus lying on the cirlce and 4thvertex at the centre. The 4 sides are equal to the radius of the circle, i.e. 16 feet.
The two diagonals are bisecting each other. The lengths of diagonals are 16 feet(from figure) and 2a(assuming)

From figure, a2+82=162(Pythagorus theorem)
a=8√3

The area of rhombus would be 2(1/2*8*16√3)

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