From a circular sheet of radius 4 cm, a circle of radius 3 cm is cut out. Calculate the area of the remaining sheet after the smaller circle is removed.
Answers
Answer:
=21.98cm².
Step-by-step explanation:
Area of circular shet=4cm
area of sheet=πr²
=π×(4)²=16π
area of circle removed=πr²
=π×(3)² =9π
area of remaining sheet=16π-9π
=7π=7×3.14
=21.98cm².
Answer :-
The area of the remaining sheet after the smaller circle is removed is 21.98 cm²
Step-by-step explanation :-
At first we need to find out the area of both the circles, then, the area of remaining sheet,
Let us take ( π = 3.14 )
Area of bigger circle
Given Radius ( R ) = 4cm
Therefore, area of the circle = πR²
= π ( 4 )²
= π × 16
= 3.14 × 16
= 314 / 100 × 16
= 5024 / 100
= 50.24 cm²
Area of bigger circle = 50.24 cm²
Now, let's find :
Area of smaller circle
Given Radius ( r ) = 3 cm
Therefore, area of the circle = πr²
= π ( 3 )²
= π × 9
= 3.14 × 9
= 314 / 100 × 9
= 2826 / 100
= 28.26 cm²
Area of smaller circle = 28.26 cm²
We know that,
Area of the remaining sheet = Area of bigger circle - Area of smaller circle
By putting the values,
Area of remaining sheet = 50.24 - 28.26
= 21.98 cm²
Therefore, Area of remaining sheet = 21.98 cm²
