A circle is a set of points that are a from a given point, the centre. The of a circle is a chord passing through the circle 's centre. A chord is a inside a circle that joins two points on the of the circle. A is a chord that passes through the centre of the circle. The further the chord is from the the shorter its length. Chords that are equidistant from the centre are in length. Any line from the circle 's to the chord's midpoint is perpendicular to the chord. It is called a An is a section of the circumference of a circle that joins two points on the circle. The length of any will be a fraction of the circumference. A tangent to a circle is a line segment that the circle at point. A secant to a circle is a line segment that the circle at points. A tangent to a circle is to the radius at the point of tangency. Tangent segments are ' when drawn from a point outside the circle. is an angle in a circle with its vertex on the circle. Any on the diameter is 90. A central angle is formed by two of a circle. A central angle is always the measure of an inscribed angle subtended from the same arc, or chord. A sector is the area enclosed by two of a circle and the that connects the endpoints of the . The of a sector will be a fraction of the circle 's area. The area of a sector is related the length of the arc subtending the sector. Equal chords subtend equal angles and equal angles. If two inscribed angles are on the same chord and are on the of the chord, the angles are equal. A segment is formed between a and a . , which show an object unfolded, can be used to help visualize the faces of a 3D object. This assists when determining of the object, since it is the sum of the areas of all faces on the object. For prisms and cylinders, the volume can be found by multiplying the the It is important to make sure all measurements are in the calculating area, volume, perimeter, or surface area. The imperial system uses , and for length. The metric system uses units based on multiples of . For example ve will equal or 2. Show a composite shape that you could divide up multiple ways to find its area. (illustrate at 3 different ways to divide it up and label dimensions of each division) 3. Indicate clearly (trace or outline or label) on the wheel below where the following are located: radius, central angle, arc, sector, diameter. - o" 4 \\ \\ l \\ contempt \\ \\ \\ . ." . 4. Describe and show how you could draw a circle precisely through the 3 vertices of a triangle. Application and Communication (Round answers to nearest tenth of a unit) 5. What is the arc length between the hour hand and minute hand of an analog clock at 10:10? Why might this be a common time for clock makers to use for images of their clocks? 6. For the wheel of emotion above, determine the area of each petal's sector of the inner circle, if the radius of the middle circle is 6cm and the area of each ring is identical to the area of the inner circle. 7. A sphere and a cube have the identical volume of 3375cm3. Will they also have an identical surface area? Justify your answer. 8. Dirt must be excavated for the foundation of a new building 20m by 35m to a depth of 5 metres. How many trips will it take to haul the dirt away if two tandem dump trucks with a capacity of 58.6 m3 are available