Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A round lawn has a radius of . A straight path cuts off a small part of the lawn. The path is a chord that subtends at the centre of the lawn. Seed for the small part costs rupees for each square metre. Find the area of the small part, the area of the large part, and the cost of the seed for the small part. Take .
A minor segment is the sector minus the triangle : . The major segment is the whole circle minus the minor segment.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , .
Step 1. The sector. .
Step 2. The triangle. .
Step 3. The small part. .
Step 4. The large part. The lawn has an area of . So the large part is .
Step 5. The cost. rupees.
Answer: the small part is , the large part is and the seed costs rupees.
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