Mathematics
Grade 5
15 min
Area of sectors
Area of sectors
What you'll learn
- Calculate the area of a sector given the radius and central angle in degrees or radians with at least 80% accuracy on a formative assessment.
- Explain the relationship between the area of a sector and the area of the entire circle in terms of the central angle, justifying the formula A = (θ/360)πr² or A = (θ/2)r² with supporting rationale.
- Solve real-world problems involving the area of sectors, such as calculating the area covered by a sprinkler or the amount of pizza in a slice, with clear and accurate application of the area formula and appropriate units in at least 3 out of 4 scenarios.
- Determine the measure of the central angle of a sector, given the sector's area and radius, demonstrating accurate algebraic manipulation and problem-solving skills in at least 75% of practice problems.
Tutorial Preview
1
A pizza has an area of 60. What is the area of 1/4 of the pizza?
2
A cookie has a radius of 10. What is the area of half (1/2) the cookie?
3
A pie with area 80 has a 90° slice. What is the slice's area?
Sample Practice Questions
Easy
A round garden has an area of 20. What is the area of 1/2 of the garden?
0.10
1.20
2.5
3.40
Easy
A circular rug has an area of 16. What is the area of 1/4 of the rug?
0.8
1.16
2.4
3.32
Easy
A plate has a radius of 2. What is the area of 1/4 of the plate? Use 3.14 for pi.
0.12.56
1.3.14
2.6.28
3.2
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Frequently asked questions
What grade level is "Area of sectors"?
Area of sectors is a Grade 5 Mathematics lesson on ExcelOS.
What will I learn in Area of sectors?
You'll be able to: Calculate the area of a sector given the radius and central angle in degrees or radians with at least 80% accuracy on a formative assessment; Explain the relationship between the area of a sector and the area of the entire….
Is "Area of sectors" free to practice?
Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.
How many practice questions are included with Area of sectors?
This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.