Question

The circumference a circle is 136 m.find : i) The radius of the circle ii) The area of the circle​

Answer 1

area of circle is pie r²

22/7*21.6*21.6

1466.33 approx

Answer 2

Answer:

21.63 meters and 1470.38 metres²

Step-by-step explanation:

As per the provided information in the given question, we have:

• The circumference of a circle is 136 m.

We've been asked to calculate the radius and the area of the circle.

For calculating the radius of circle, we'll use "Circumference of circle" formula.

$\odot$ Circumference of the circle is 2 times the product of π and radius. Let us denote radius of circle as r here.

$\twoheadrightarrow\quad\sf{Circumference=2\times \pi\times r}$

Here, we're given with the circumference of the circle. So we can equate it's value in the formula.

$\twoheadrightarrow\quad\sf{136=2\times \dfrac{22}{7}\times r}$

Performing multiplication.

$\twoheadrightarrow\quad\sf{136=\dfrac{44}{7}\times r}$

Transposing 7 from RHS to LHS. It's arithmetic operator will get change.

$\twoheadrightarrow\quad\sf{136\times 7=44\times r}$

Performing multiplication.

$\twoheadrightarrow\quad\sf{952=44\times r}$

Transposing 44 from RHS to LHS. It's arithmetic operator will get change.

$\twoheadrightarrow\quad\sf{\dfrac{952}{44}=r}$

Performing division in order to calculate the radius of the circle.

$\twoheadrightarrow\quad\underline{\boxed{\pmb{\frak{r=21.63\: m}}}}$

We've calculated the radius of circle that is 21.63 m. Now, let us calculate the area of the circle.

"Area of the circle" , is the product of π and square of radius.

$\twoheadrightarrow\quad\sf{Area=\pi\times {r}^{2}}$

Substitute radius of circle.

$\twoheadrightarrow\quad\sf{Area=\dfrac{22}{7}\times {21.63}^{2}}$

Writing the square of the number in RHS.

$\twoheadrightarrow\quad\sf{Area=\dfrac{22}{7}\times 467.85}$

Performing multiplication.

$\twoheadrightarrow\quad\sf{Area=\dfrac{10292.7}{7}}$

Performing division in order to calculate the area of circle.

$\twoheadrightarrow\quad\underline{\boxed{\pmb{\frak{Area=1470.38\: {m}^{2}}}}}$

❝ Therefore, radius of the circle is 21.63 m and area of circle is 1470.38 m². ❞