the area of circle is 9856 metre square the radius of the circle is equal to length of rectangle and wide the of rectangle is half its length area of rectangle age
Answers
Answer:
1568 cm²
Step-by-step explanation:
Given---> Area of circle is 9856 m² and radius of the circle is equal to the length of rectangle and width of the rectangle is half its length
To find---> Area of rectangle.
Solution---> ATQ,
Area of circle = 9856
Now we know that ,
Area of circle = π r²
Where r is radius,
So,
Area of circle = 9856
=> π r² = 9856
=> r² = 9856 / π
=> r² = 9856 / ( 22 / 7 )
=> r² = 9856 × 7 / 22
=> r² = 448 × 7
Prime factorization of 448 is
448 = 4 × 4 × 4 × 7 , putting it in it , we get,
=> r² = 4 × 4 × 4 × 7 × 7
=> r² = 64 × 49
=> r = √( 64 × 49 )
=> r = 8 × 7
=> r = 56 cm
ATQ, Length of rectangle = Radius of circle
Length of rectangle = 56 cm
Breadth of rectangle = 1 / 2 × Length of rectangle
Breadth of rectangle = 1 / 2 × 56
= 28 cm
we know that,
Area of rectangle = length × breadth
= 56 × 28
= 1568 cm²
#Answerwithquality
#BAL
Answer:
Step-by-step explanation:
Given---> Area of circle is 9856 m² and radius of the circle is equal to the length of rectangle and width of the rectangle is half its length
To find---> Area of rectangle.
Solution---> ATQ,
Area of circle = 9856
Now we know that ,
Area of circle = π r²
Where r is radius,
So,
Area of circle = 9856
=> π r² = 9856
=> r² = 9856 / π
=> r² = 9856 / ( 22 / 7 )
=> r² = 9856 × 7 / 22
=> r² = 448 × 7
Prime factorization of 448 is
448 = 4 × 4 × 4 × 7 , putting it in it , we get,
=> r² = 4 × 4 × 4 × 7 × 7
=> r² = 64 × 49
=> r = √( 64 × 49 )
=> r = 8 × 7
=> r = 56 cm
ATQ, Length of rectangle = Radius of circle
Length of rectangle = 56 cm
Breadth of rectangle = 1 / 2 × Length of rectangle
Breadth of rectangle = 1 / 2 × 56
= 28 cm
we know that,
Area of rectangle = length × breadth
= 56 × 28
= 1568 cm²