The figure above represents a patch of Ravi's garden. He wants to plant 4 pots in the 4 circular spaces shown in the figure. The length of the side of the square patch is 30cm. Using this information, answer the questions given below:
(questions are in pic)
Answers
Answer:
1. a
2. a
3. c
4. a
5th ka smjh mein nahi aa ra bhaii
Given:
Ravi wants to plant 4 pots in the 4 circular spaces
The length of the side of the square patch is 30cm
The diameter of each circular path is 15cm
To find:
1. Area of the shaded region
2. Total area of the circular region
3. Area of the entire patch
4. Area covered by one-pot
5. Largest radii of 4 pots that can be fit in this patch
Solution:
1. Area of shaded region = Area of the square - Area of 4 circles
= (30 x 30) - 4(π(7.5)²)
= 900 - 707.14
= 192.86 cm²
Hence, the area of the shaded region is a) 192.86 cm².
2. Total area of the circular region = 4πr²
= 4 x 22/7 x 7.5 x 7.5
= 707.14 cm²
Hence, the total area of the circular region is a) 707.14 cm².
3. Area of the entire patch = a²
= 30 x 30
= 900 cm²
Hence, the area of the entire patch is c) 900 cm².
4. Area of the circular region = πr²
= (22/7) x (7.5)²
= 176.78 cm²
Hence, the area covered by one-pot is a) 176.78 cm².
5. The largest radii of the pot is 7.5 cm only.
- Since it is a square patch of 30cm, the diameter of the one pot cannot be more than 15 cm.
- To place four pots the largest radii can be only 7.5cm.