Question

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of
the sheet. (Take π =
22
7 )

Answer 1

circumference of circular sheet=154m
2πr=154m
r=154/2π
 =24.5m
area of sheet=πr²
                    =22/7×24.5×24.5
                    =1886.5m²

Answer 2

$\huge\mathfrak{\underline{Correct\:question}}$

If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take π = 22/7)

_____________________________

Given that:-

• Circumference of circular sheet = 154m

To find:-

• Radius of circular sheet

• Area of circular sheet.

We have to take (π = 22/7).

Answer:-

$\bold{STEP-BY-STEP-EXPLANATION}$

From the question it is given that,

Circumference of the circle = 154 m

Then,

We know that, Circumference of the circle = 2πr

154 = 2 × (22/7) × r

154 = 44/7 × r

r = (154 × 7)/44

r = (14 × 7)/4

r = (7 × 7)/2

r = 49/2

r = 24.5 m

Now,

Area of the circle = πr2

= 22/7 × (24.5)2

= 22/7 × 600.25

= 22 × 85.75

= 1886.5 m2

So, the radius of circle is 24.5 and area of circle is 1886.5.

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