.) A zoo is planned as shown in Fig. 8. Adjacent to it is a triangular car park having
an area of 60 m2. A circular well of diameter 6 m lies inside the zoo.
The entire zoo without the car park is to be planted with lawn grass. Find the
area of the region to be covered with lawn grass.
(ii) Fencing is needed for the car park. Find the length of the fence required
6 m
23 m
Car
Answers
Given : A zoo is planned as shown . Adjacent to is it a triangular car park having an area of 60 m^2. A circular well of diameter 6m lines inside the zoo
To Find : area of Zoo without well and parking
Solution:
Area of triangle = (1/2) * 12 * h = 60
=> h = 10 m
Height = 10 m
area of zoo with out parking = 12 * 10 = 120 m²
Diameter = 6 m
=> radius = 3 m
Area of well = π3² = 28.26 m²
area of Zoo without well and parking = 120 - 28.26
= 91.74 m²
Fencing as per Diagram for car parking =12 + 10 + 23 = 45 m
Actually 12 + 10 + √12² + 10²
= 22 + 15.6
= 37.6 m
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