Question

find the area of the smallest square that can be circumscribe a circle of area 154 cm²​

Answer 1

Answer:

98 cm²

Step-by-step explanation:

Area of circle= πr²=154 cm²

⇒   r²=154/π

⇒ r²= 154×7/22

⇒ r²= 49

⇒ r= 7 cm

diameter of circle= 2×r= 7×2= 14 cm

Diameter of circle is diagonal of square  circumscribed  =14 cm

Let a be the side of square

then, √2 a= 14

a= 14/√2

a=7√2

side of square is = 7√2 cm

area of square= a²=(7√2)²

= 49×2= 98 cm²

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