Question

it took 125.6m of fence to enclose a circular garden.find the length of the radius of the garden

Answer 1

Answer :-

Length of the radius of the circular garden is 20 m

Explanation :-

Given

If took 125.6 m of fence to enclose a circular garden.

i.e Circumference of a circular garden = 125.6 m

Let the length of the radius of the garden be r m

We know that

Circumference of the circular garden = 2πr

⇒ 2πr = 125.6

⇒ 2 * (22/7) * r = 125.6

⇒ (44/7) * r = 125.6

⇒ r = 125.6 * (7/44)

⇒ r = 879.2/44

⇒ r = 8792/440

⇒ r ≈ 20 m

∴ length of the radius of the circular garden is 20 m

Answer 2

GIVEN

It took 125.6m of fence to enclose a

circular garden

enclose a circular garden

TO FIND

Radius of the garden

EXPLANATION

from the question,

it is clear that the fence used to enclose

the circular garden is nothing but

circumference of the circle

Now

we know that

$\boxed{\sf circumference \: of \: circle=2\pi r}$

substituting

$=>125.6=2×\dfrac{22}{7}×r$

$=>\dfrac{125.6}{2}×\dfrac{7}{22}=r$

=>$\dfrac{879.2}{44}=r$

$\boxed{\sf r=20m}$

EXTRA INFORMATION

=>Area of a circle=πr² sq.units