A 70cm wide path is made around a circular garden having a diameter of 14 metres. What is the area of the path (in m
2
)?
- A10.29 \pi
- B8.29 \pi
- C11.29 \pi
- D13.29 \pi
Solution & Step-by-step Explanation
Given:
Diameter of circular garden = 14m⟹ Inner radius (r) = 7m
Width of path = 70cm=0.7m
Outer radius (R) = r+width=7+0.7=7.7m
The area of the path is given by:
Area=πR
2
−πr
2
=π(R
2
−r
2
)
Area=π(7.7
2
−7
2
)=π(59.29−49)=10.29πm
2
Diameter of circular garden = 14m⟹ Inner radius (r) = 7m
Width of path = 70cm=0.7m
Outer radius (R) = r+width=7+0.7=7.7m
The area of the path is given by:
Area=πR
2
−πr
2
=π(R
2
−r
2
)
Area=π(7.7
2
−7
2
)=π(59.29−49)=10.29πm
2