find the area in the given figure..
Answers
Step-by-step explanation: given figure indicates that there is two areas small and large(including path area) , we need to calculate both areas and then subtract smaller area from large area ..in a smaller, calculate the area of rectangle and both the half circles
Area of rectangle = length x breadth
= 21 x 50 = 1050m
Area of 1/2 circle =( πr²)/2
= {(22/7) (21)/2)²}/2
= {(22/7)(21x21)/4}/2
= {(22/7) x (14)²}/2
= {22 x 3 x 21 }/8
= { 66 x 21 }/8=173.25
Area of 2 half circles
= 173.25 x 2 = 346.5
Area of small portion (inner) =
Area square + area of 2 half circles
=1050 + 346.5 = 1,396.5
Now , calculate the area of larger portion (area of. inner portion + path)
Here, Area of rectangle = l x b
= {50 x (21+7)} = {50 x 28 } = 1,400m²
let's find out the area of 2 half circles ...
Area of 2 half circles =
= 2 {(πr²)/2} = πr²
= {(22/7)x ((21+7)/2)²}
= { (22/7) x( (28x28)/4)}
= { 22 x 4 x 7 } = 616
Area of large portion = 616 + 1400
= 2,016
Area of path in the given figure
= Area of large portion - area of smaller portion = 2016 - 1,396.5
= 619.5 m²
[ Note : check the answer once again may be the calculation is wrong ]