Question

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

Answer 1

Answer:

area of square is 600.25 cm square

Answer 2

Answer :-

• The area of square is 2401cm².

Step-by-step explanation :

To Find :-

• The area of square

Solution :-

Given that,

• Circumference of circle = 154cm
• Side of Square = Diameter of circle

First we need to find out the radius of the circle, we can find out the radius by applying the formula of circumference of circle,

As we know that,

Circumference of circle = 2πr, Let us assume the radius as r,

=> 2πr

=> 2 × 22/7 × r = 154

=> 44/7 × r = 154

=> r = 154 × 7/44

=> r = 3.5 × 7

=> r = 24.5

• The radius of circle is 24.5cm.

Now, the diameter of circle, As we know that,

Diameter of circle = 2 × radius,

=> ( 2 × 24.5 ) cm

=> 49cm

• The diameter of the circle is 49cm.

According the question,

Given that,

• Side of square = Diameter of circle,

Hence, the side of square is 49cm. Now, area of Square,

As we know that,

Area of square = ( side )²

=> Area = ( 49 )²

=> Area = ( 49 × 49 ) cm²

=> Area = 2401 cm²

• Therefore, The area of square is 2401cm².