the area of a circular plot is double the area of rectangular plot if area of the rectangular plot is 11088 m square then find the circumference of the circular plot
Answers
Answer:
528 m
Step-by-step explanation:
if the area of circular plot is double than the area of rectangular field then,11088×2=22176
area of circle=πr^2
22/7×r^2=22176
22176×7/22=r^2
7056=r^2
r=√7056
r=84
so,
circumference =2πr
2×22/7×84=528
I hope it helps
Answer:
Circumference = 528m
Step-by-step explanation:
Given---> Area of rectangular plot is double the area of rectangular plot
area of rectangular plot = 11088m²
To find---> Circumference of the circular plot
Solution--->Let radius of circular plot be r
ATQ,
Area of circular plot = 2 × Area of rectangular plot
=> πr² = 2 × 11088
=> ( 22/ 7 ) r² = 2 × 11088
=> r² = (2 × 11088 × 7) / 22
=> r² =( 11088 × 7 ) / 11
=> r² = 1008 × 7
=> r² = 144× 7 × 7
=> r = √( 144 × 49 )
=> r = 12 × 7
=> r = 84 m
Now , circumference of circle = 2πr
= 2 × ( 22/7 ) × 84
= 528 m