Maths Perimeter and Area part 14 (Questions 2: Circle) CBSE Class 7 Mathematics VII

TL;DR

A circular flower garden with an area of 314 meters is watered by a sprinkler at the center, which can cover an area with a radius of 12 meters.

Transcript

hello friends this video on perimeter and area part 14 is brought to you by exam fee or comm no more fear from exam question number 4 a circular flower garden has an area of 314 meters where a sprinkler at the center of the garden can cover an area that has radius of 12 meters will the sprinkler water the entire garden let let's again make use of a... Read More

Key Insights

• 📔 The area that a sprinkler can cover is calculated using the formula for the area of a circle (PI * R^2).
• 🏡 The coverage area of the sprinkler is larger than the garden area, allowing it to reach beyond the garden boundaries.
• 🧑‍🦼 The distance covered by a wheel in one rotation is equal to its circumference.

Questions & Answers

Q: What is the area of the circular flower garden?

The area of the garden is given as 314 square meters.

Q: How much area can the sprinkler cover?

The sprinkler can cover an area with a radius of 12 meters, which corresponds to an area of 452.16 square meters.

Q: Will the sprinkler water the entire garden?

Yes, the sprinkler will water the entire garden because its coverage area is larger than the garden area.

Q: How many times must a wheel with a radius of 28 centimeters rotate to cover 352 meters?

The circumference of the wheel is calculated to be 176 centimeters or 1.76 meters. Therefore, the wheel needs to rotate 200 times to cover 352 meters.

Summary & Key Takeaways

• The video discusses a circular flower garden with an area of 314 meters and a sprinkler at the center that can cover an area with a radius of 12 meters.

• The area that the sprinkler covers is calculated to be 452.16 square meters, which is larger than the garden area.

• Therefore, the sprinkler can water the entire garden, including areas beyond its boundaries.