Question

Saima wants to put a lace on the edge of a circular table cover of diameter 1.5m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs15. (Take π=3.14)​

Answer 1

Answer:

• ➝ The length of lace is 4.71 m.
• ➝ The cost of lace is Rs.70.65.

Step-by-step explanation:

Given :

• ➝ Saima wants to put a lace on the edge of a circular table cover of diameter 1.5m.
• ➝ One meter of the lace costs Rs.15.

To Find :

• ➝ The length of the lace
• ➝ The cost of the lace

Solution :

⠀✇ Here, we have given that the diameter of lace is 1.5m. Finding the radius of lace :

• ➝ Diameter = 1.5m
• ➝ Radius = Diameter/2

$\begin{gathered}{\qquad{\dashrightarrow{\sf{Radius = \dfrac{Diameter}{2}}}}} \\ \\ {\qquad{\dashrightarrow{\sf{Radius = \dfrac{1.5}{2}}}}} \\ \\ {\qquad{\dashrightarrow{\sf{Radius = \dfrac{1.5 \times 10}{2 \times 10}}}}} \\ \\ {\qquad{\dashrightarrow{\sf{Radius = \dfrac{15}{20}}}}} \\ \\ {\qquad{\dashrightarrow{\sf{Radius = \cancel{\dfrac{15}{20}}}}}} \\ \\ {\qquad{\dashrightarrow{\sf{\underline{\underline{\red{Radius = \dfrac{3}{4} \: m}}}}}}}\end{gathered}$

Hence, the radius of lace is 3/4 cm.

$\rule{300}{1.5}$

⠀✇ Now, we know the radius of lace. Finding, the length of the lace. Here,

• ➝ Lenght of lace = Circumference of lace
• ➝ Circumference of lace = 2πr

$\begin{gathered}\qquad{\dashrightarrow{\sf{Circumference_{(Circle)} = 2 \pi r}}} \\ \\ \qquad{\dashrightarrow{\sf{Circumference_{(Circle)} = 2 \times \dfrac{22}{7} \times \dfrac{3}{4} }}} \\ \\ \qquad{\dashrightarrow{\sf{Circumference_{(Circle)} = \dfrac{2 \times 22 \times 3}{7 \times 4}}}} \\ \\ \qquad{\dashrightarrow{\sf{Circumference_{(Circle)} = \dfrac{132}{28}}}} \\ \\ \qquad{\dashrightarrow{\sf{Circumference_{(Circle)} = \cancel{\dfrac{132}{28}}}}} \\ \\ \qquad{\dashrightarrow{\sf{\underline{\underline{\red{Circumference_{(Circle)} = 4.71 \: m}}}}}}\end{gathered}$

Hence, the length of lace is 4.71 m.

$\rule{300}{1.5}$

⠀✇ Now, finding the total cost of lake if one meter of the lace costs is Rs.15 :

$\begin{gathered}\qquad{\dashrightarrow{\sf{Cost \: of \: 1 \: m \: lace = Rs.15}}}\\\\\qquad{\dashrightarrow{\sf{Cost \: of \: 4.71 \: m \: lace = 15 \times 4.71}}} \\\\\qquad{\dashrightarrow{\sf{\underline{\underline{\red{Cost \: of \: 1 \: m \: lace = Rs.70.65}}}}}}\end{gathered}$

Hence, the cost of lace is Rs.70.65.

$\begin{gathered}\end{gathered}$

Learn More :

Circle :

A circle is a round shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Formula related to circle :

• ⟶ Diameter of circle = 2×r
• ⟶ Circumference of circle = 2πr
• ⟶ Area of circle = πr²

$\underline{\rule{220pt}{3.5pt}}$

Answer 2

Answer:

ANSWER IN THE ATTACHED PICTURE

Step-by-step explanation:

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