Question

The area of a circle is 220cm^2. Find the area of a square inscribed in the circle.​

Answer 1

Answer:

Area of circle=220cm²

πr²=220cm²

22/7×r²=220cm²

r²=220×7/22=10×7=70

r=√70cm

d=2r=2×√70=2√70cm

We know that when square inscribed in circle,

d=digonal of square=2√70cm

Now, digonal of square=√2a

2√70=√2a

2×√2×√35=√2a

2×√2×√35/√2=a

a=2√35cm

Then, area of square=a²=(2√35)²

=4×35=140cm²

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Step-by-step explanation: