A circular park whose diameter is 35 m has a 1.4 m broad flower bed around it. What is the area of the flower bed.
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Answered by
21
Answer:
The circular park whose diameter is 35 m. Hence, the area of the flower bed = 160.16 sq.
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Answered by
5
Answer:
The area of the flower bed = 160.16 sq. m.
Explanation:
Given : The circular park whose diameter is 35 m.
Radius of park = r= \dfrac{diameter}{2}=\dfrac{35}{2}=17.5\ m2diameter=235=17.5 m
If it has a 1.4 m broad flower bed around it , then radius of the flower bed = R= 17.5m+1.4m = 18.9m
Area of flower bed = Area of flower bed including park - Area of park
= \pi R^2-\pi r^2πR2−πr2
\begin{gathered}=\pi(R^2-r^2)\\\\ = \pi(18.9^2-17.5^2)\\\\=\pi(357.21-306.25)\\\\=\dfrac{22}{7}(50.96)\\\\=160.16\ m^2\end{gathered}=π(R2−r2)=π(18.92−17.52)=π(357.21−306.25)=722(50.96)=160.16 m2
Hence, the area of the flower bed = 160.16 sq. m.
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