Frame a circle using a thread of 8 cm and form a square and find the area of square.
Answers
Answer:
4
Step-by-step explanation:
Step-by-step explanation:
Given :-
Frame a circle using a thread of 8 cm and form a square .
To find :-
Find the area of square?
Solution :-
Given that :
The length of the thread = 8 cm
If we frame a circle using the thread of 8 cm
=> It is the total length of the circle
=> It is the circumference of the circle
=> Circumference of the circle = 8 cm
=> 2πr = 8
=> 2× (22/7)×r = 8
=> (44/7)×r = 8
=> 44r/7 = 8
=> 44r = 8×7
=> 44r = 56
=> r = 56/44
=> r = 14/11 cm
We know that
Area of a circle = πr² sq.units
=> Area of the given circle
=> (22/7)×(14/11)² cm²
=> (22/7)×(14/11)×(14/11)
=> (22×14×14)/(7×11×11)
=> (2×2×14)/(11)
=> 56/11 cm²
Area of the circle = 56/11 cm²
If we frame a square with the thread of 8 cm then
=> It is the perimeter of the square
=> Perimeter of the square = 8 cm
=> 4× side = 8
=> Side = 8/4
=> Side = 2 cm
Side of the square = 2 cm
We know that
Area of a square = Side × Side sq.units
=> Area of the square = 2×2 = 4 cm²
Answer:-
Area of the square for the given problem is 4 cm²
Used formulae:-
Circle :-
- Circumference of a circle = 2πr units
- Area of a circle = πr² sq.units
- π = 22/7
- r =radius of the circle
Square :-
- Perimeter of a square = 4×side units
- Area of a square = Side × Side sq.units