NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 9: Perimeter and Area - Multiple Choice Questions
Question 31

Question.  31

31. What will be the area of the largest square that can be cut out of a circle of radius 10 cm?

(a)

(a) 100 cm²

(b)

(b) 200 cm²

(c)

(c) 300 cm²

(d)

(d) 400 cm²

Detailed Answer with Explanation:

Diagonal of square = diameter of circle = 20 cm.

So side = \( \tfrac{20}{\sqrt{2}} = 10\sqrt{2} \).

Area = (10√2)² = 200 cm².