7) If O is the center of the circle in the figure alongside , then complete the table from
the given information.
Y
The type of arc
100
B
Type of circular arc
Name of circular arc Measure of circular arc
Minor arc
Major arc
mon
Answers
Step-by-step explanation:
Correct Question
The perimeter of a square is 144 m find the cost of cementing it at the rate of ruppe 15 per m²
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To solve such problems, we need to remember the formula of Perimeter & Area of the square. It is given as,
Perimeter of a square is equal to sum of all sides of a square.
A square has 4 sides. Therefore, the formula of the perimeter of square is 4 × side
Area of a square is equal to product of sides i.e side × side
⠀⠀
To find : Total cost of cementing a square⠀
Given, perimeter of a square = 144m
Equate the side of a square
Apply formula of the perimeter of square
\begin{gathered}\implies \sf 4 \times side = 144 \\ \\ { \underline{ \pmb{ \tt{Let \: consider \: the \: side \: of \: a \: square \: be \: 'a'}}}} \\ \\ \implies \sf 4 \times a = 144 \\ \\ \implies \sf a = \dfrac{ \cancel{144} \: \: ^{36}}{ \cancel 4} \\ \\ \therefore\sf \: \: a = 36m\end{gathered}
⟹4×side=144
Letconsiderthesideofasquarebe
′
a
′
Letconsiderthesideofasquarebe
′
a
′
⟹4×a=144
⟹a=
4
144
36
∴a=36m
Each side of a square is 36 m
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Now, calculate the area of a square
\begin{gathered} \implies \sf side \times side \\ \\ \implies \sf a \times a \\ \\ \implies \sf 1296m^2\end{gathered}
⟹side×side
⟹a×a
⟹1296m
2
Area of a square is 1296m²
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Calculate the cost of cementing a square
• Cost of cementing 1 m² of a square is Rs.15
• Cost of cementing 1296m² of a square
\begin{gathered}\qquad\implies \sf 15 \times 1296 \\ \\ \implies \sf 19440\end{gathered}
⟹15×1296
⟹19440
Final Answer
Total cost for cementing a square is Rs.19,440
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