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

Answer:

r= 12.4m (3 s.f.)

Step-by-step 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:

[tex]r = \sqrt{154} [/tex]

r= 12.4m (3 s.f.)

Answer:

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 :

[tex]\star\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}[/tex]

• »» π = 22/7
• »» r = radius

Solution :

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

[tex]{\dashrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{154 \pi = \pi{r}^{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{154 \times \dfrac{22}{7} = \dfrac{22}{7} \times {r}^{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{154 \times \cancel{\dfrac{22}{7}} = \cancel{\dfrac{22}{7}} \times {r}^{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{154 = {r}^{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{r = \sqrt{154} }}}[/tex]

[tex]{\dashrightarrow{\sf{r \approx 12.4 }}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{r \approx 12.4 \: m }}}}}[/tex]

Hence, the radius of circular pond is 12.4 m.

[tex]\rule{300}{1.5}[/tex]