Maths- shapes and area Maths GCSE, part 2 of 6. 5.0 / 5 based on 1 ratingTeacher recommended ? MathematicsVolume and surface areaGCSEAll boards Created by: carysCreated on: 02-06-12 16:13 Regular polygons Polygons- a multisided shape. A regular polygon is where all the sides and angles are the same. Equilateral triangle- has 3 sides, 3 lines of symmetry and 3 rotations of symmetry Regualar pentagon- 5 sides, 5 lines of symmetry and 5 rotations of symmetry Exterior angles = 360/n Interior angles = 180 - exterior angle Sum of exterior angles = 360 Sum of interior angles = (n - 2) x 180 1 of 3 Areas Triangle- 1/2 x base x vertical height Parallelogram- base x vertical height Trapezium- average of parallel sides (1/2 x a + b) x distance between them (height) Area of circle- Pi x (radius)2 Circumference of circle- Pi x diameter Area of sector- angle size of sector divided by 360 x area of full circle Length of arc- angle size of sector divided by 360 x circumference of full circle 2 of 3 Surface area and volumes Surface area and volume- only occur for 3D shapes Surface area of solid = area of net Volume of cuboid = length x width x height volume of prism = cross-sectional area x length volume of sphere = 4/3 x pi x radious3 volume of pyramid = 1/3 x base area x height volume of cone = 1/3 x pi x radius3 x height 3 of 3
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