Question

if the circumference of a circular sheet is 176m , find its area​

Answer 1

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Formula of Circumference of the circle = $2\pi r$

Circumference = 176m

$2\pi r = 176 \\ = > 2 \times 3.14 \times r = 176 \\ = > r = 176 \div 6.28 \\ = > r = 28(approx)$

Formula of area of the circle = $\pi {r}^{2}$

Area = $3.14 \times 28 \times 28 \\ = 276(approx)$

HERE THE ANSWERS (Radius and Area are in approx value)

Answer 2

Given:

A circular sheet with

• Circumference = 176 m

What To Find:

Area of the circular sheet.

How To Find:

To find the area of the circular sheet, we will first find the radius of the circular sheet.

Formula Used:

Circumference = 2πr

Area = πr²

Solution:

• Finding the radius

Using the formula,

⇒ Circumference = 2πr

Substitute the value,

⇒  $\sf{176\:m = 2 \times \dfrac{22}{7} \times r}$

Multiply 2, 22 and r,

⇒ $\sf{176\:m = \dfrac{44r}{7}}$

Take 7 to LHS,

⇒ $\sf{176 \times 7 = 44r}$

Multiply 176 by 7,

⇒ 1232 = 44r

Take 44 to LHS,

⇒ $\sf{\dfrac{1232}{44} = r}$

Divide 1232 by 44,

⇒ 28 m = r

• Finding the area

Using the formula,

⇒ Area = πr²

Substitute the value,

⇒$\sf{Area = \dfrac{22}{7} \times 28 \times 28}$

Cancel 7 and 28,

⇒ Area = 22 × 4 × 28

Mutiply the numbers,

⇒ Area = 2464 m²

∴ Thus, the area of circular sheet is 2464 m².