Calculate the area and perimeter of various shapes
Calculate the area and perimeter of shapes such compound rectilinear shapes and circles including partial circles or sectors.
The area of a shape is a measure of how much surface that shape uses. It is measured in squares, for convenience, as these tessellate and are the same width as length. The standard unit of measure for the area is the the metre squared.
The perimeter of a shape is the distance around its edge. It is a length and is measured in metres. You calculate the perimeter by ADDING up all the sides and adding them together. The perimeter of a circle is called the circumference.
Calculate the area and perimeter of shapes such compound rectilinear shapes and circles including partial circles or sectors.
Find the area of compound shapes. You will need to use addition and subtraction to calculate the lengths of missing sides. Then, you will need to use multiplication to calculate the areas.
Find the perimeter of various shapes by counting marked squares. Be careful to remember where you began on your journey around each shape.
Follow worked examples of how to calculate the area of shapes in an attempt to demonstrate the importance of setting out work in a logical manner.
A challenging problem to find the area of a circle outside an inscribed triangle.
A challenging problem involving areas of circles and sectors as well as some trigonometry.
Find the equations of lines to determine the diameter of a circle. There may be some use of simultaneous equations as well.
Find the area of a circle and then use trigonometry to find the area of a triangle.
Find the equation of a straight line, given two points to then calculate the area of a rectangle.
Find the area and perimeter of compound shapes using squares to help.
Find the area of rectangles and parallelograms.
A video about going through the sheet on the left.
A video on calculating the area of a sector and how to find the angle at the centre of the sector.
Some questions from less challenging to more challenging about the area of various shapes including triangles, circles, hexagons and trapeziums. Also some work on forming expressions and scale.
Video going through the method for working out the area of a triangle.
Using the equation of a straight line graph, can you calculate the area of a triangle?
Video showing how to find the area of rectangles and parallelograms.
Finding the perimeter of a shape using algebra.
Find the area of a shape using squares to support your understanding.
Find the area of compound shapes including a sector.
A challenging problem to find the area a compound shape including sectors.
A challenging problem to find the area a compound shape including sectors.
A challenging problem to find the area of a compound shape.
Find the area of rectangles, triangles and trapeziums.
Find the lengths of missing sides and use this information to find the area of irregular shapes.
A collection of various worksheets looking at area of irregular shapes, surface area of cuboid using numerical dimensions and algebraic ones. Also linking area to reflection to calculate the area of a reflection, solving problems to do with area. Visualising area under a hidden part of a grid. Finding the area by counting squares. Investigating Pi and using a gridded perimeter to calculate the area of irregular shapes.
Find the area of rectangles and parallelograms.
Communicating clearly how to find the area of a rectilinear compound shape.
Split compound shapes into triangles to find their area. You may need to use trigonometry to do this.
A couple of partial examples are given about how to find the missing lengths and then there is a question to complete as well.
Find the perimeter of various shapes using adding and subtracting. Will involve being able to read diagrams similar to the one shown above.
This is a video about calculating the area and the perimeter of with particular emphasis on how to lay out your work to make it clearer for your audience.
An introduction to the trapezium rule for working out the area under a graph.
Use a ruler to measure the lengths of the sides and then add them together to find the perimeter.
Information sheets useful for a wall display on area of different shapes for GCSE mathematics.
Given the dimensions of three rectangles, calculate different combinations of the three rectangles in both numeric and algebraic calculations.