GATE Computer Science (CS) 2018 Shift 1 Solved Paper

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Question : 5 of 65

Marks: +1, -0

The area of a square is

d

. What is the area of the circle which has the diagonal of the square as its diameter?

$π d$
$π d^{2}$
${1}/{4} π d^{2}$
${1}/{2} π d$

Solution:

Area of square

=d

Side one side of square

=√{d}

Diagonal of square

=√{d+d}=√{2 d}

Area of circle

=π r^{2}

=π(\;{√{2 d}}/{2})^{2}

=π \;{d}/{2}

=\;{1}/{2} π d

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