Question

24. A square is inscribed in a circle of radio
7 cm. Find area of the square
plzzz fast .​

Answer 1

Answer:

Since the diameter of the circle is the diagonal of the square inscribed in the circle. Let a be the length of the sides of the square. Hence the area of the square is 98 sq.cm.

Step-by-step explanation:

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Answer 2

GIVEN :-

• The radius of the circle , r = 7 cm.

TO FIND :-

• The area of the square.

SOLUTION :-

★ As we know that the diagonals of a square are equal and bisect each other.

$\\ :\implies \displaystyle \sf AC = BD$

$\\ :\implies \displaystyle \sf \: OA = OC = OB = OD = 7 cm \: \: \: \: \: \: \: \: \: \bigg \lgroup \displaystyle \sf Radius \ of \ circle \bigg \rgroup$

$: \implies \displaystyle \sf D_{1} = AC = 7 + 7 = 14 cm. \: \: \: \: \: \: \bigg \lgroup \displaystyle \sf Diagonal \ 1 \bigg \rgroup$

$\\ : \implies \displaystyle \sf D_{2} = BD = 7 + 7 = 14 cm \: \: \: \: \: \: \: \: \bigg \lgroup \displaystyle \sf Diagonal \ 2 \bigg \rgroup$

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$\\ \\ \dashrightarrow \: \displaystyle \sf \: Area \ of \ Square = \: \frac{1}{2} ( \: D_{1} \times D_{2} )$

$\dashrightarrow \: \displaystyle \sf \: Area \ of \ Square = \frac{1}{2} (14 \times 14)$

$\dashrightarrow \: \displaystyle \sf \: Area \ of \ Square = 14 \times 7$

$\dashrightarrow \: \underline{ \boxed{ \displaystyle \sf \: Area \ of \ Square = 98 \: cm ^{2} }}$

$\therefore \underline {\displaystyle \sf \: Area \ of \ Square \ is \ 98 \: cm ^{2}}.$