Question

2) A circular flower garden has an
area of
314m². A Sprinkler at the center of
the garden can cover an area that has a radius of 12m. will the sprinkler water the entire garden? (take pai=3.14 )
​

Answer 1

Let's find radius of garden first

Given:-

• Area of flower garden = 314 m

$\pi {r}^{2} = 314$

$3.14 {r}^{2} = 314$

${r}^{2} = \frac{314}{3.14}$

${r}^{2} = 314 \times \frac{100}{3.14}$

${r}^{2} = 1 \times 100$

${r}^{2} \sqrt{100}$

$r = 10m$

So, the radius of garden = 10m

&

Radius of sprinkler = 12m

Since, sprinkler has higher radius, it will cover the entire area of garden

Answer 2

Answer:

Given : area = 314 m2

According to given condition 

π×r2= 314.

r2=100

∴r=10

Since Sprinkler can cover the garden with a radius of 12m as the radius of the circular garden is only 10m

∴ Sprinkler can water the entire garden.