Question

The circumference of a circle is 308 mm2

Find the area of this circle.

Answer 1

Area of the circle is 10275.736 mm²

Step-by-step explanation:

We Have :-

Circumference of Circle = 308 mm²

To Find :-

Area of the circle

Formula Used :-

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

Solution :-

$circumference \: of \: the \: circle \: = 2 \: \pi \: r \\ \\308 = 2 \times \dfrac{22}{7} \times radius \\ \\ radius = \dfrac{308 \times 7}{2 \times 22} \\ \\ radius = \dfrac{2156}{44} \\ \\ radius = 57.18 \: mm \\ \\ area \: of \: the \: circle \: = \pi \: {r}^{2} \\ \\ area = \dfrac{22}{7} \times {(57.18)}^{2} \\ \\ area = \dfrac{22 \times 3269.5524}{7} \\ \\ area = \dfrac{71930.1528}{7} \\ \\ area = 10275.736 \: {mm}^{2}$

Area of the circle is 10275.736 mm²

Answer 2

Given:

• Circumference of a circle is 308 mm.sq

To Find :

• The area of this circle.

Formula to be used :

• Circumference of the circle = 2πr
• Area of circle = πr²

Solution :

we know ,

Circumference of the circle = 2πr

∴ 308 = 2 × 22/7 × r

308 = 44/7 r

308 × 7/44 = r

7 × 7 = r

49 = r

r = 49 mm

now ,

Area of circle = πr²

= 22/7 × 49 × 49

= 22 × 7 × 49

= 7,546 mm.sq

Answer

The radius of circle is 49 mm

The area of circle is 7,546 mm.sq