Math, asked by rakshayasri007, 24 days ago

The diameter of a dining table is 35 m. Find its area and Circumference?​

Answers

Answered by xXNIHASRAJGONEXx
2

Answer:

Given diameter of a circle is d=10.5 m

As we know that

Circumference of a circle with diameter d is πd

⟹ Circumference of a circle is

7

22

×10.5=33 m

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Step-by-step explanation:

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Answered by StarFighter
9

Answer:

Given :-

  • The diameter of a dining table is 35 m.

To Find :-

  • What is the area and circumference.

Solution :-

First, we have to find the radius :

As we know that :

\implies \sf\boxed{\bold{\pink{Radius =\: \dfrac{Diameter}{2}}}}\\

where,

  • Diameter = 35 m

So,

\implies \sf Radius =\: \dfrac{35}{2}

\implies \sf\bold{\purple{Radius =\: 17.5\: m}}

Now, we have to find the area of a dining table :

Given :

  • Radius = 17.5 m

As we know that :

\implies \sf\boxed{\bold{\pink{Area_{(Circle)} =\: {\pi}r^2}}}\\

So, according to the question by using the formula we get,

\implies \sf Area_{(Dining\: Table)} =\: \dfrac{22}{7} \times (17.5)^2\\

\implies \sf Area_{(Dining\: Table)} =\: \dfrac{22}{7} \times 17.5 \times 17.5\\

\implies \sf Area_{(Dining\: Table)} =\: \dfrac{22}{7} \times 306.25\\

\implies \sf Area_{(Dining\: Table)} =\: \dfrac{6737.5}{7}

\implies \sf\bold{\red{Area_{(Dining\: Table)} =\: 962.5\: m^2}}\\

Now, we have to find the circumference of a dining table :

Given :

  • Radius = 17.5 m

As we know that :

\implies \sf\boxed{\bold{\pink{Circumference_{(Circle)} =\: 2{\pi}r}}}\\

According to the question by using the formula we get,

\implies \sf Circumference_{(Dining\: Table)} =\: 2 \times \dfrac{22}{7} \times 17.5\\

\implies \sf Circumference_{(Dining\: Table)} =\: \dfrac{44}{7} \times 17.5\\

\implies \sf Circumference_{(Dining\: Table)} =\: \dfrac{\cancel{770}}{\cancel{7}}\\

\implies \sf\bold{\red{Circumference_{(Dining\: Table)} =\: 110\: m}}\\

\therefore The area of a dining table is 962.5 and the circumference of a dining table is 110 m .

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