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 12m . Will the sprinkler water the entire garden

Answer 1

area covered by sprinkler=πr²=3.14*12*12=452.16m²
since the Area of garden is less than the area of covered by sprinkler
thus, sprinkler can water the entire garden

Answer 2

Given :

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

　

To find :

• Will the sprinkler water the entire garden.

　

Using formula :

★ Area of circle = πr².

　

Calculations :

→ 3.14 × 12 × 12

→ 3.14 × 12²

→ 452.16 m²

　

• The area of sprinkler covers more than the area of garden.

　

Hence,

• The sprinkler can water the entire garden.