Question

1 A curcular flower gardien has an area of 314 mA sprinkler at the centre of the
garden cam cover an area that has a radius of 12 m. Will the sprinkler water the entire
garden (Take TE=3.14)
mirks, shown in the adjoining figure​

Answer 1

✬ Yes, It can cover ✬

Step-by-step explanation:

Given:

• Area of circular flower garden is 314 m².
• A sprinkler is at the centre of flower garden.
• Sprinkler can cover an area that has a radius of 12 m.

To Find:

• Will the sprinkler water entire garden?

Solution: Let radius of flower garden be r m.

➼ Area of flower garden is 314 m².

Since, flower garden is circular therefore,

★ Area of Circle = πr² ★

$\implies{\rm }$ 314 = 3.14(r)²

$\implies{\rm }$ 314 = 314/100(r)²

$\implies{\rm }$ 314 $\times$ 100 = 314(r)²

$\implies{\rm }$ 31400/314 = r²

$\implies{\rm }$ 100 = r²

$\implies{\rm }$ √100 = r

$\implies{\rm }$ 10 = r

So, Radius of garden is 10 m & Radius of sprinkler is 12 m.

Here we found that sprinkler has higher radius than flower garden. So it will cover the entire area of garden.