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Compound Shapes

Compound Shapes. Can you describe what a compound shape is?. Shapes Compound shapes. Recap: How do you work out the area of. Area of rectangle = Base x height. Area of triangle = (base x perpendicular height) ÷ 2. Compound Shapes. A compound shape is one that is made up of other shapes.

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Compound Shapes

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  1. Compound Shapes Can you describe what a compound shape is? • Shapes • Compound shapes

  2. Recap: How do you work out the area of... Area of rectangle = Base x height Area of triangle = (base x perpendicular height) ÷ 2

  3. Compound Shapes • A compound shape is one that is made up of other shapes. • To find the area of a compound shape, you need to split it up into shapes you know: • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • A + B = __________ 7cm 6cm 13cm Remember, there is often more than one way to split up a shape! 4cm

  4. Compound Shapes 4cm • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • A + B = __________ 4cm 7cm 6cm

  5. Compound Shapes • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • A + B = __________ 8cm 13cm 15cm

  6. Compound Shapes • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • C: • A + B + C = __________ 4cm 22cm 15cm 18cm 25cm

  7. Compound Shapes 15cm • Label each section. • Write down all dimensions. • Find the areas. • A: • B: • C: • A + B + C = __________ 14cm 8cm 20cm 9cm 18cm

  8. d = 6cm 9.5cm 18cm Areas with circles cut out Calculate the shaded area.

  9. 45cm 10cm d = 5cm Areas with circles cut out Calculate the shaded area.

  10. 11cm 6cm Areas with circles cut out Calculate the shaded area.

  11. 18cm Areas with circles cut out The circle shown fits exactly into the square. Find the shaded area.

  12. Areas of parts of a circle Find the area of the part of the circle shown shaded in each of the diagrams below. 9cm 10cm 13cm 7cm 7cm 8cm 3cm 7.5cm

  13. 11cm 23cm Areas with circles cut out Calculate the area (shaded) between the twosemi circles.

  14. 11cm 17cm Areas with circles cut out From a rectangular piece of cardboard, quarter circles of radius 2cm are cut from each corner. Find the shaded area.

  15. 15cm 15cm Areas with circles cut out Calculate the shaded area.

  16. Find the area of the part of the circle shown shaded in each of the diagrams below. 13cm 4cm 3cm 7.5cm 12cm

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