Question

Q.2. What is the area of the largest square that can be
inscribed in a circle of radius 12 cm.?
​

Answer 1

Answer:

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Answer 2

Answer:

Let the side of square be a cm and radius of the circle be r cm

Give, r=12 cm

Area of the square =a

2

cm

2

ΔABC is a right angled triangle.

Thus, by Pythagoras theorem, we have

AB

2

+BC

2

=AC

2

⇒a

2

+a

2

=(2r)

2

⇒2a

2

=4r

2

⇒a

2

=2r

2

⇒a

2

=2(12)

2

⇒a

2

=2×144

=288cm

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