diameter of a circular Garden is 54 M there is a 4.5 cm wide road around the garden find the area of the road
Answers
Given:
✰ Diameter of a circular garden = 54 m
✰ Length of road around the garden = 4.5 cm = 0.045 m
To find:
✠ The area of the road.
Solution:
Let's understand the concept first!
- First we will find the radius of a circular path as we are provided with the diameter of the circular garden, then we will find the area of the circular garden by using formula to calculate area of circle. Putting the values in the formula and then doing the required calculations.
- After that we will find the total radius and then the total area, again by using the formula of circle. We will subtract the area of the circular garden from the total area to find the area of the road which is constructed around the garden.
Let's find out...✧
➛ Radius of a circular garden = Diameter/2
➛ Radius of a circular garden = 54/2
➛ Radius of a circular garden = 27 m
✭ Area of circle = πr² ✭
- As the garden is in the form of circle, so we will use area of a circle to calculate the area of the circular garden
➛ Area of the circular garden = πr²
➛ Area of the circular garden = 22/7 × 27²
➛ Area of the circular garden = 22/7 × 27 × 27
➛ Area of the circular garden = ( 22/7 × 729 ) m²
➛ Total Radius of a circular garden including road = 27 + 0.045
➛ Total Radius of a circular garden including road = 27.045 m
✭ Area of circle = πr² ✭
➛ Total area = 22/7 × (27.045)²
➛ Total area = ( 22/7 × 27.045 × 27.045 ) m²
Now, finally
➤ Area of the road = Total area - Area of the circular garden
➤ Area of the road = ( 22/7 × 27.045 × 27.045 ) - ( 22/7 × 729 )
➤ Area of the road = ( 22/7 × 731.432 ) - ( 22/7 × 729 )
➤ Area of the road = 2298.79 - 229.14
➤ Area of the road = 2069.65 m²
∴ The area of the road = 2069.65 m²
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