Question

the circumference of a circle is 35.2m. find its area

Answer 1

circumference=
$2\pi \: r$
$2\pi \: r = 35.2 \\ 2 \times 22 \div 7 \times r = 35.2 \\ 44 \div 7r = 35.2 \\ r = 35.2 \times 7 \div 44 \\ = 246.4 \div 44 \\ = 308 \div 55 \\ = 5.6$
are of a circle=
$\pi \: r { }^{2} \\ = 22 \div 7 \times (5.6) ^{2} \\ = 22 \div 7 \times 31.36 \\ = 98.56$

Answer 2

The area of a circle is "$98.56m^{2}.$"

Step-by-step explanation:

Given,

The circumference of a circle = 35.2 m

Let radius of the circle = r

To find, the area of the circle = ?

We know that,

The circumference of a circle = $2\pi r$

⇒2 × $\dfrac{22}{7}$ × r = 35.2

⇒$r =\dfrac{35.2\times 7}{2\times 22}=0.8\times 7=5.6m$

∴ r = 5.6 m

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

$=\dfrac{22}{7} \times 5.6 \times 5.6$

$=22 \times 0.8 \times 5.6$

$=98.56m^{2}$

Hence, the area of a circle is $98.56m^{2}.$