CBSE Class 10 Maths (Standard) 2025 · Paper 30/5/1 · Question 36
A farmer has a circular piece of land. He wishes to construct his house in the form of largest possible square within the land as shown below. The radius of circular piece of land is 35 m. Based on given information, answer the following questions:
- (i)Find the length of wire needed to fence the entire land.[1]
- (ii)Find the length of each side of the square land on which house will be constructed.[1]
- (iii) (a)The farmer wishes to grow grass on the shaded region around the house. Find the cost of growing the grass at the rate of Rs. 50 per square metre.[2]
- (iii) (b)OR — Find the ratio of area of land on which house is built to remaining area of circular piece of land.[2]
Answer
(i) The length of wire needed is m; (ii) Each side of the square land is m, about m; (iii)(a) The cost of growing the grass is ₹; (iii)(b) The required ratio is .
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