Question

A circular flower garden has an area of 314m². A sprinkler at the centre of the garden can cover an area that has a radius of 12cm . Will the sprinkler water the entire garden.

Answer 1

Answer:

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Step-by-step explanation:

Circular flower garden has an area of 314 meters square the sprinkler at the center of the garden can cover an area that has a radius of 12m. To find : Will the sprinkler water the entire Garden? The radius of the garden is 10 m. Therefore, Yes, the sprinkle can cover the whole garden.

Answer 2

Given : area = 314 m²

According to given condition

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

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

$\bf {r}^{2} = 314 \times \frac{22}{7}$

$\bf {r}^{2} = 100$

$\bf r = \sqrt{100}$

$\bf r = 10m$

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.