Question

a circular pond is surrounded by a 2m wide circular path .if the outer circumference of the circular path is 44 m find the inner circumference of the circular path .also find the area of the path.​

Answer 1

Step-by-step explanation:

Let R be radius of outer circle and r be radius of inner circle.

It has been given that 44m is the circumference of outer circle,

⇒2πR=44m

⇒2×

7

22

×R=44

⇒R=

2×

7

22

44

=

2×22

7×44

=7m

It is given that circular path is 2 m wide.

So, radius of inner circle r=R−2=7−2=5 m

So, inner circumference of path =2πr=2×

7

22

×5=31.42 m

Therefore,

Area of the path = area of outer circle - area of inner circle

⇒π(R

2

−r

2

)

=

7

22

(7

2

−5

2

)=

7

22

×24

=75.43m

2

please mark me as Brainlist plzzz please

Answer 2

Step-by-step explanation:

Given:A circular pond is surrounded by a 2m wide circular path.if the outer circumference of the circular path is 44 m.

To find:Find the inner circumference of the circular path, also find the area of the path.

Solution:

$circumference \: of \: circular \: path \\ = 2\pi \: r$

1) Outer radius of path:

Let the outer radius of circular path is R.

So,

$44 = 2\pi \: R \\ \\ R = \frac{44}{2\pi} \\ \\ R = \frac{44 \times 7}{2 \times 22} \\ \\ R = 7 \: m$

Outer radius of circular path is 7 m.

It is given in the question itself that circular path is 2 m wide.

Thus, Inner radius of circular path(Radius of circular pond)r = 7-2= 5 m.

2) Inner circumference of path(Circumference of pond):

$r = 5m \\ \\ circumference = 2\pi \: r \\ \\ = 2 \times \frac{22}{7} \times 5 \\ \\ = \frac{220}{7} \\ \\ circumference=31.43 m$

3) Area of circular path:

$= \pi( {R})^{2} - \pi( {r})^{2} \\ \\ = \pi{(R}^{2} - {r}^{2} ) \\ \\ = \frac{22}{7} (49 - 25) \\ \\ = \frac{22}{7} \times 24 \\ \\ =75.43 {m}^{2}$

Thus,

Inner circumference of circular path is=31.43 m

Area of path is =75.43 m²

Hope it helps you.

To learn more on brainly:

1)the inner circumference of a circular track is 220 m.the track is 7m wide everywhere.calculate the cost of putting up a ...

https://brainly.in/question/2023416