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Circle Kit for School Maths Lab
Precision-Cut Fraction Sectors: Includes a set of 16 interlocking wedge-shaped segments manufactured from high-impact, non-toxic polymer, specifically designed to demonstrate the area formula derivation through physical transformation into a rectangular configuration.
Integrated Measurement Scale: Features a durable circular base with clearly embossed degree markings and a center-pivot point for accurate radius and diameter demonstrations, facilitating empirical verification of the mathematical constant Pi.
$2.65
Quick Answer: Circle Kit for School Maths Lab is a set of circle teaching pieces used to explore the parts of a circle, the link between circumference and diameter, and the area of a circle. With the circle kit, students rearrange the sectors of a circle to see why its area equals πr².
From Sectors to the Area Formula
The classic activity with this kind of kit divides a circle into equal sectors and lays them side by side, alternately point up and point down. The result looks like a parallelogram with wavy long sides, and the more sectors are used, the closer it comes to a rectangle. Its length is half the circumference, πr, and its height is the radius r, so its area, and therefore the area of the circle, is πr × r = πr².
Before that, students can meet the parts of a circle by handling pieces: the centre, radius, diameter, chord, arc, sector and segment. Placing a sector next to a segment makes the difference obvious, since a sector is bounded by two radii and an arc while a segment is bounded by a chord and an arc.
A second classic activity measures circumference. Wrapping a thread around a circular piece or rolling a disc along a ruler, then dividing the circumference by the diameter, gives a value a little over 3 each time, which introduces π as a constant ratio. The exact contents of this kit, such as the number of sector pieces and discs, should be confirmed before ordering.
Specifications
| Item | Circle teaching kit |
| Concepts | Parts of a circle, circumference and π, area of a circle |
| Key activity | Rearranging sectors into a near-rectangle of sides πr and r |
| Typical level | Upper primary and middle school |
| Contents and material | Confirm at enquiry |
Applications
- Naming parts of a circle: radius, diameter, chord, arc, sector and segment
- Estimating π from circumference and diameter measurements
- Arriving at the area formula πr² by rearranging sectors
- Fractions of a circle and angles at the centre, using equal sectors
Care & Handling
- Keep the sectors of each circle together; mixing sectors from different circles spoils the rearrangement.
- Store pieces flat so curved edges keep their shape.
- Wipe with a dry cloth and avoid bending thin pieces.
Why Choose LabEquip
Middle-school maths teachers buy a circle kit for the mensuration unit, and it pairs well with the Circular Geoboard for work on chords and angles. Both are listed in LabEquip’s Mathematics School Lab Products; send your requirement through the contact page.
Frequently Asked Questions
How does rearranging sectors prove the area of a circle?
The sectors form a shape close to a rectangle whose length is half the circumference, πr, and whose height is the radius, r. Its area is πr × r, which gives πr². Using more, thinner sectors brings the shape closer to a true rectangle.
Why is the length of the rearranged shape πr?
Half the sectors point up and half point down, so each long side of the shape carries the arcs from half the circle. Half of the circumference 2πr is πr.
How do students find π with the kit?
They measure the circumference of a circular piece with thread or by rolling it, measure its diameter, and divide. Results cluster a little above 3, and averaging several gives a value close to 3.14.
What is the difference between a sector and a segment?
A sector is a slice bounded by two radii and the arc between them, like a slice of pizza. A segment is the region cut off by a chord, bounded by the chord and its arc.
Can the kit be used to teach fractions?
Yes. Equal sectors show a circle divided into halves, quarters or other fractions, and each sector’s angle at the centre is the same fraction of 360 degrees, which links fractions with angles.
At what level is the kit used?
Parts of a circle are usually taught in upper primary, and circumference and area in middle school. The sector rearrangement suits the lesson where the area formula is first introduced.
Last Updated: September 2026
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