Question

A circular flower garden has an area of 314m square. A sprinkle at the centre of the garden can cover an area that has a radius of 12m. Will the sprinkle water the entire garden? ( Take pi = 3.14 )

Answer 1

Answer:

Yes, the sprinkle can cover the whole garden.

Step-by-step explanation:

Given : 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?

Solution :

We have given,

Area of garden = 314 meter square

A=\pi r^2A=πr

2

314=3.14\times r^2314=3.14×r

2

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

2

=

3.14

314

r=\sqrt{100}r=

100

r=10r=10

The radius of the garden is 10 m.

The radius of area covered by the sprinkler = 12 m

Therefore, Yes, the sprinkle can cover the whole garden.