Question

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

Answer 1

Answer:

the answer will be 196cm²

Answer 2

Answer:

98 cm²

Step-by-step explanation:

If the square is inscribed in the circle, its diagonal is equal to the diameter of the circle.

Let square side be s and radius of circle be r.

Diagonal of a square formula=s√2

So, 2r=s√2

⇒s=2r/√2=r√2

Area of the square is s²=(r√2)²=2r²

∵r=7 cm,

s²=2(7)²=2*49 = 98 cm²

∴ the area of the square is 98 cm².

<hope it helps>

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