Math, asked by Munazermir7087, 9 months ago

A square ABCD is inscribed on a circle of radius r. Find the area of the square

Answers

Answered by sreyaansha
0

Step-by-step explanation:

side = 2r

area of square = side^2

(2r)^2

4r^2

are of square =4r^2

Answered by Anonymous
2

 \textsf{Join AC.Then ,AC is a diameter of the circle }

 \rm  \therefore AC=2r  \: units

 \rm But \: diagonal  \: of \: a \: square=( \sqrt{2} ×side)

  \rm \therefore \sqrt{2}  \times  \: side = 2r \implies  \huge{\frac{2r}{ \sqrt{2} } }

 \textsf{ \: Area of the square}= \rm ( { \sqrt{2} r})^{2}  = 2r²  \: sq. unit

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