The sides of a triangular park are 8 m, 10 m and 6 m respectively. A small circular area of diameter 2 m is to be left out and the remaining area is to be used for growing roses. How much area is used for growing roses? (Use π = 3.14).

Solution

For triangular park

∵ 6² + 8² = 10²∴ Angular between sides of length 6 m and
8 m = 90°
∴ Area of the triangular park
$equals space fraction numerator 6 cross times 8 over denominator 2 end fraction equals 24 space straight m squared$
Radius of circular area (r)
$equals 3 over 2 space straight m space equals space 1 space straight m space$

∴ Circular area = $πr squared equals straight pi left parenthesis 1 right parenthesis squared equals straight pi equals 3.14 space straight m squared$
∴ Area used for growing uses
= Area of the triangular part
- Circular area
= 24 – 3.14 = 20.86 m²

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Statistics

The sides of a triangular park are 8 m, 10 m and 6 m respectively. A small circular area of diameter 2 m is to be left out and the remaining area is to be used for growing roses. How much area is used for growing roses? (Use π = 3.14).

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