The area of a square is 100 cm2. The circumference (in cm) of the larg

1.	The area of a square is 100 cm2. The circumference (in cm) of the largest circle cut of it is(a) 5 π (b) 10 π (c) 15 π (d) 20 π
Answer» (b) 10 π Let us assume the side of the square be x. Form the question it is given that, area of a square is 100 cm² We know that, area of square = 100 cm² X² = 100 cm² X = √100 cm² X = 10 cm So, the largest circle in the square, diameter of the circle must be equal to the side of the square. Diameter = 10 cm = side of square 2r = 10 cm r = 10/2 r = 5 cm then, circumference of circle = 2 πr = 2 × π × 5 = 10 π

The area of a square is 100 cm2. The circumference (in cm) of the largest circle cut of it is(a) 5 π (b) 10 π (c) 15 π (d) 20 π

Answer»

(b) 10 π

Let us assume the side of the square be x.

Form the question it is given that, area of a square is 100 cm²

We know that, area of square = 100 cm²

X² = 100 cm²

X = √100 cm²

X = 10 cm

So, the largest circle in the square, diameter of the circle must be equal to the side of the square.

Diameter = 10 cm = side of square

2r = 10 cm

r = 10/2

r = 5 cm

then, circumference of circle = 2 πr

= 2 × π × 5

= 10 π