Question

find the area of a square whose side is equal to the diameter of circle of circumference 154 cm​

Answer 1

Answer:

2πr=154

2×22/7×r=154

r=49/2

d=49

area of square=49^2

=2401

Answer 2

Given :-

• The Side of the Square = Diameter of the circle
• Circumference if the Circle = 154cm

To Find :-

• Area of the Square

Solution :-

➞ Circumference of Circle = 2πr

➞ 154 = 2 × 22/7 × Radius

➞ 154 ÷ 2 = 22/7 × Radius

➞ 77 = 22/7 × Radius

➞ 77 × 7 = 22 × Radius

➞ 539 = 22 × Radius

➞ 539 ÷ 22 = Radius

➞ 24.5 = Radius

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It was given that diameter of the Circle = Side of the Square

➞ Diameter of Circle = 2 × Radius

➞ Diameter of Circle = 2 × 24.5

➞ Diameter of Circle = 49cm

Therefore, Side of the Square = 49cm

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➞ Area of Square = (Side)²

➞ Area of Square = Side × Side

➞ Area of Square = 49 × 49

➞ Area of Square = 2401cm²

Therefore, Area of Square = 2401cm²

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★ Additional Info :

Formulas Related to Square :

• Perimeter = 4 × Side
• Area = Side × Side
• Side of Square = √Area
• Diagonal = √2 × Side
• Area = ½ × (Diagonal)²
• Area = (Perimeter ÷ 4)²

Formulas Related to Circles :

• Circumference of Circle = 2πr
• Area of Circle = πr²
• Diameter of Circle = 2 × Radius
• Radius of Circle = Diameter/2

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