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- 1. Area of circlePresented by h. p. patel Tgt maths
- 2. ObjectiveTo find out the area of a circle throughpaper cutting and pasting method.
- 3. Pre requisite knowledge• Radius and circumference of the circle.• Equal parts of the circle.• Area of the rectangle.
- 4. Materials required• White sheet of paper.• Glazed papers.• Geometry box.• Fevicol/gum.• Scissors.
- 5. Procedure Draw a circle with radius r (10 cm). Divide the circle in 16 equal parts. Radius of the circle = r. Circumference of circle = 2πr. Length of green circum. = πr. Length of pink circum. = πr.
- 6. Procedure continue - Cut all the sixteen parts of circle with scissor and arrange them as shown in figure. Length of green side = πr. Length of pink side = πr. πr So Length of parallelogram=πr. And breadth = r. r r πr
- 7. Observation From above activity we can observe that, if we will make small part of circle and rearrange them like a parallelogram , it become a rectangle with length πr and breadth r. πr So, area of parallelogram(rectangle) = length x breadth r = πr x r r = πr2 πr
- 8. ResultArea of a circle with radius r is πr2. Area of circle = πr2 r
- 9. Test your knowledge1. Find the area of a circle with radius 7 cm.2. Find the area of a circle, if circumference of the circle is 132 cm.3. Find the radius of a circle, if area of the circle is 154 cm2.

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