What will be the area of the largest square that can be cut out of a c

1.	What will be the area of the largest square that can be cut out of a circle of radius 10 cm?(a) 100 cm2 (b) 200 cm2 (c) 300 cm2 (d) 400 cm2
Answer» (b) 200 cm² From the question it is given that, radius of circle 10 cm. Square has diagonal equal to its diameter. Diameter = 2 × radius = 2 × 10 = 20 cm Then, let us assume the side of the square be P. So, area of square be P². By the rule of Pythagoras theorem, Diagonal² = height² + base² 20² = P² + P² 20² = 2P² 400 = 2P² P² = 400/2 P² = 200 cm² Therefore, area the largest square that can be cut out of a circle of radius 10 cm is 200 cm².

What will be the area of the largest square that can be cut out of a circle of radius 10 cm?(a) 100 cm2 (b) 200 cm2 (c) 300 cm2 (d) 400 cm2

Answer»

(b) 200 cm²

From the question it is given that, radius of circle 10 cm.

Square has diagonal equal to its diameter.

Diameter = 2 × radius

= 2 × 10

= 20 cm

Then, let us assume the side of the square be P.

So, area of square be P².

By the rule of Pythagoras theorem,

Diagonal² = height² + base²

20² = P² + P²

20² = 2P²

400 = 2P²

P² = 400/2

P² = 200 cm²

Therefore, area the largest square that can be cut out of a circle of radius 10 cm is 200 cm².