Question

If the area of circular pond is 154 π square meter, find the radius of it's base ​

Answer 1

The radius of circular pond is 12.4 m.

Step-by-step explanation:

Given :

• ➠ Area of circular pond = 154π

To Find :

• ➠ Radius of circular pond

Using Formula :

`\star\small{\underline{\boxed{\sf{\red{Area_((Circle)) = \pi{r}^(2)}}}}}`

• »» π = 22/7
• »» r = radius

Solution :

Finding the radius of circular pond by substituting the values in the formula :

`{\dashrightarrow{\sf{Area_((Circle)) = \pi{r}^(2)}}}`

`{\dashrightarrow{\sf{154 \pi = \pi{r}^(2)}}}`

`{\dashrightarrow{\sf{154 * (22)/(7) = (22)/(7) * {r}^(2)}}}`

`{\dashrightarrow{\sf{154 * \cancel{(22)/(7)} = \cancel{(22)/(7)} * {r}^(2)}}}`

`{\dashrightarrow{\sf{154 = {r}^(2)}}}`

`{\dashrightarrow{\sf{r = √(154) }}}`

`{\dashrightarrow{\sf{r \approx 12.4 }}}`

`\star{\underline{\boxed{\sf{\purple{r \approx 12.4 \: m }}}}}`

Hence, the radius of circular pond is 12.4 m.

`\rule{300}{1.5}`

Answer 2

r= 12.4m (3 s.f.)

Explanation:

Area of circle= πr², where r is the radius

154π= πr²

Divide both sides by π:

154= r²

r²= 154

Square root both sides:

`r = √(154)`

r= 12.4m (3 s.f.)