Ratio of area of a circle to the area of a square whose side equals radius of circle is 1:π. Is the given statement true or false

Solution:

Let the radius of the circle = r

Therefore the side of the square = r(given)

Area of the circle = πr²

Area of the square = r²

The ratio of the area of the circle to the area of the square = πr²/r² = π =π:1

Hence the statement is False(F).

✦ Try This: Ratio of the circumference/perimeter of a circle to the perimeter of a square whose side equals radius of circle is π/2. Is the given statement true or false

Let the radius of the circle = r

Therefore the side of the square = r(given)

Circumference(perimeter) of the circle = 2πr

Perimeter of the square = 4r

The ratio of the perimeter of the circle to the area of the square = 2πr/4r = π/2

Hence the statement is True

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 61

Ratio of area of a circle to the area of a square whose side equals radius of circle is 1:π. Is the given statement true or false

Summary:

Ratio of area of a circle to the area of a square whose side equals radius of circle is π:1 is a false (F) statement

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