A circular flower garden has an area of 314 \(m^2\) . A sprinkler at the centre of the garden can cover an area that has a radius of 12 \(m\). Will the sprinkler water the entire garden? (Take \(\pi\) = 3.14)
Solution and Explanation
\(Area = \pi r ^2\)
= \(3.14\times 12\times 12\)
= \(3.14\times 144\)
= \(452.16\; m^2\)
Area of the circular flower garden = \(314 \;m^2\)
\(Yes\), the sprinkler will water the whole garden.
Read more: Circumference of a Circle
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Match the items given in Column I with one or more items of Column II.
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Concepts Used:
Circle
A circle can be geometrically defined as a combination of all the points which lie at an equal distance from a fixed point called the centre. The concepts of the circle are very important in building a strong foundation in units likes mensuration and coordinate geometry. We use circle formulas in order to calculate the area, diameter, and circumference of a circle. The length between any point on the circle and its centre is its radius.
Any line that passes through the centre of the circle and connects two points of the circle is the diameter of the circle. The radius is half the length of the diameter of the circle. The area of the circle describes the amount of space that is covered by the circle and the circumference is the length of the boundary of the circle.
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