Question

from a square cardboard a circle of biggest area was cut out if the area of the circle is 154 cm square calculate the original area of the cardboard

Answer 1

I hope this will help you

Answer 2

↪Dear User!!↩

▶Question: From a square cardboard circle of biggest area was cut off. If the area of the circle is 154cm square find the original area of the cardboard ?

▶Method of Solution:↩

↪In this Question, It is given that from a square cardboard a circle of biggest area was cut out if the area of the circle is 154 cm².↩

▶Area of Circle = πr²▶

↪ 154=22/7×(r²)

↪ 154×7 = 22r²

↪ 1078 = 22 r²

↪ 1078÷22= r²

↪ 49=r²

↪ •°• r=7

↪Thus, Radius of Circle is (7 cm)

▶It means Side of the Square of cardboard = 2× Radius,▶

↪Side of the Square of cardboard =2×7 cm

↪Side of the Square of cardboard = 14 cm

Now, According to the Question statement!

Statement : find the original area of the cardboard ?

We know that Cardboard is , in the Shape of Square , Then We need to Find the Area of Square!

Area of Square = (Side)²

↪ Area of Square = (14)²

↪ Area of Square = 196 cm²

Finally, Area of the Square Cardboard is 196cm²