Sector: Real-world Applications in Nature & Environment
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of sectors within circles, emphasizing real-world applications related to nature and the environment, with questions increasing in complexity.
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Sector: Real-world Applications in Nature & Environment
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A circular pond has a sector that represents 1/4 of the entire pond. If the radius of the pond is 10 meters, calculate the area of the sector.
[3 marks]2.
Calculate the length of the arc of a sector in a circle with radius 15 meters, if the sector angle measures 60 degrees.
[3 marks]3.
Determine the area of a sector with a radius of 8 meters and a central angle of 90 degrees.
[4 marks]4.
A tree has a circular canopy with a radius of 12 meters. A gardener wants to cut a sector-shaped section that covers 1/3 of the tree's canopy. Find the angle of this sector.
[4 marks]5.
In a nature reserve, a circular lake has a sector that accounts for 1/6 of the lake, with an angle of 60 degrees. If the radius of the lake is 20 meters, what is the area of the sector?
[3 marks]6.
A circular garden has a radius of 9 meters. A walkway is constructed along a 45-degree sector of the garden. Calculate the length of the walkway.
[3 marks]7.
A wildlife survey involves dividing a circular habitat into sectors. If a sector has an angle of 30 degrees and a radius of 50 meters, what is the area of that sector?
[3 marks]8.
A circular satellite dish has a radius of 2 meters. The dish is divided into 12 equal sectors. What is the area of one sector?
[3 marks]9.
A forest clearing is shaped like a sector with a radius of 25 meters and a central angle of 90 degrees. Calculate the area of the clearing.
[3 marks]10.
A researcher is studying a circular patch of land with a radius of 40 meters. They focus on a sector that measures 45 degrees. What is the area of this sector?
[3 marks]11.
Identify and correct the mistake: A student calculates the area of a sector with radius 10 meters and an angle of 180 degrees as 157.08 sq. meters. The actual area should be 157.08, but they used the formula incorrectly. What mistake did they make?
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet