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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minQB

MathematicsMediumsingle choice

A radius- $r$ circle is inscribed in a square. Joining the side midpoints repeatedly makes a sequence of squares. What is the radius of the circle inscribed in the $n$ th square?

Options:

Answer:

Solution:

At each step the side and inradius are multiplied by $1/ 2$ . Starting with radius $r$ at $n = 1$ gives $r (1/ 2)^{n - 1} =$ $2^{(1 - n) /2} r$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle

⏱ 2mℹ️ Source: QB

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