the inner circumference of a circular track is 220 m. the track is 7 m wide everywhere .calculate the cost of putting fence along a outer circle at rate of Rs2 per metre
Answers
Answer:
Given that :-
The inner circumference of a circular track is 220 m.
The track is 7 m wide everywhere.
To calculate:-
The cost of putting fence along the outer circle at Rs.2 per metre..
\huge{\sf{\boxed{\boxed{Solution:}}}}
Solution:
Let the inner and outer radii of the circular track be r meters and R meters respectively.
Then,
Inner circumference = 220m.
\begin{gathered} = > 2 \: \pi \: r = 220 \\ \\ 2 \times \frac{22}{7} \times r = 220 \\ \\ r = 35m\end{gathered}
=>2πr=220
2×
7
22
×r=220
r=35m
Since , the track is 7 metre wide everywhere.
Therefore
R = outer circle = r+7 =(35 + 7)m = 42 metre.
\begin{gathered}outer \: circumference = 2 \: \pi \: r \: \\ \\ \ = 2 \times \frac{22}{7} \times 42m = 264m\end{gathered}
outercircumference=2πr
=2×
7
22
×42m=264m
Rate for fencing = Rs. 2 per metre .
Total cost of fencing =( Circumference × Rate )
= Rs, 264 × 2 = 528.
\boxed{Answer:rs.\:528}
Answer:rs.528
Answer:
Inner circumference = 220m. Since , the track is 7 metre wide everywhere. R = outer circle = r+7 =(35 + 7)m = 42 metre. Rate for fencing = Rs.