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1. TWO CIRCLES IN RECTANGLE COMPUTE ANGLE PUZZLE HOW TO
2. TWO CIRCLES IN RECTANGLE COMPUTE ANGLE PUZZLE FULL

This is slightly more complicated than the perimeter, but for regular shapes there are a set of formulas to help with this, as you will see in the next section. So, if you are faced with a complex shape, look for ways to split these up to help you calculate the perimeter.Īnother property of a shape that can be useful to know is the area, or space that it occupies. To find the total distance, or perimeter, you then just need to add in the lengths of the longest edges of the rectangle. So, calculating the circumference of a circle with this diameter will give us part of the answer. The distance around the two semicircles combined is the same as around a circle with a diameter of 1.6 m. Start by noticing that the shape is formed of one rectangle and two semicircles. Figure 15 A shape formed of a rectangle and two semicircles The dimensions of the shape are shown as 1.6 metres by 2 metres. This shows a rectangle, with semicircles added to the shortest sides. A railway track is an example of a set of two parallel lines and these are shown on diagrams by using an arrow (or double arrow) drawn on each line, as shown in Figure 2. Lines that will never meet and are always the same distance apart, however far you extend them in either direction are called parallel lines. When two lines are at right angles to each other, they are also said to be perpendicular. This tells us that the angle is exactly 90º and not 89º or 91º.

TWO CIRCLES IN RECTANGLE COMPUTE ANGLE PUZZLE HOW TO

Now, you’ve looked at one common way of measuring the amount of rotation, let’s think briefly about how to describe and show lines precisely.įigure 1 shows a right angle, which is denoted by a small square drawn at the angle. Figure 1 Angles in different anticlockwise turnsįigure 1 helps us to define some of the basic ideas of geometry.

The 90 degrees turn is marked by a small square between the two direction lines.

TWO CIRCLES IN RECTANGLE COMPUTE ANGLE PUZZLE FULL

A full turn is 360 degrees, a half turn is 180 degrees and a uarter turn is 90 degrees. This diagram shows the angles in different anti-clockwise turns. This helps us to define some basic ideas in geometry. If one full turn is 360º, this means that a half turn is 180º and a quarter turn is 90º, as shown in Figure 1. This system was inherited from the Babylonians, whose counting system was based on 60 and who were the first people to use degrees in astronomy. Week 3 of Succeed with maths – Part 1 looks at fractions by using pizzas, and this is very similar. A circle is split into 360 equal parts, each part being 1º. If you turn from looking straight ahead to facing either directly to your right or directly to your left, you will have made a quarter turn.Ī full turn, or a circle, is defined as having 360º (said as 360 degrees). If you turn so that you are facing in the opposite direction, you will have made half of a full turn. The angle you have turned through is a full turn. Imagine looking straight ahead and then turning around until you return to your starting position. Angles measure the amount of turning from one position to another, so for example, you can describe how far around a circle you have moved.