Circumference of a circular garden is 176 m. A path 7m wide is built inside and around
It. Find the area of the paths
Answers
GIVEN :-
- Circumference of garden is 176m.
- A path of 7m is built inside and around it.
TO FIND :-
- Area of path.
TO KNOW :-
★ Circumference of circle = 2πr
★ Area of circle = πr²
Here , r → radius of circle.
SOLUTION :-
→ Circumference (circular garden) = 2πR
→ 176 = 2 × (22/7) × R
→ 176 = (44/7) × R
→ R = 176 × (7/44)
→ R = 28m
Hence , radius of Outer Circular garden is 28m.
Radius of inner circle(r) = Outer radius - width of path
Radius of inner circle(r) = 28 - 7
Radius of inner circle(r) = 21m
R = 28m and r = 21m
______________
So , we have to find area of path.
From the diagram ,
→ Area of path = Area of Outer circle - Area of inner circle
→ Area of path = πR² - πr²
→ Area of path = π(R² - r²)
→ Area of path = π(28² - 21²)
→ Area of path = π(784 - 441)
→ Area of path = (22/7) × 343
→ Area of path = 1078m²
Hence , area of path is 1078m².
MORE FORMULAS :-
★ Area of square = side²
★ Area of rectangle = l × b
★ Area of parallelogram = l × h
★ Area of semi-circle = πr²/2
★ Perimeter of square = 4×sie
★ Perimeter of semi-circle = r(2+π)
★ Perimeter of rectangle = 2(l+b)
★ Perimeter of parallelogram= 2(l+b)