TAILIEUCHUNG - gre math review phần 5

For more material and information, please visit Tai Lieu Du Hoc at A tangent to a circle is a line that has exactly one point in common with the circle. A radius with its endpoint at the point of tangency is perpendicular to the tangent line. The converse is also true. | For more material and information please visit Tai Lieu Du Hoc at A tangent to a circle is a line that has exactly one point in common with the circle. A radius with its endpoint at the point of tangency is perpendicular to the tangent line. The converse is also true. If each vertex of a polygon lies on a circle then the polygon is inscribed in the circle or equivalently the circle is circumscribed about the polygon. Triangle RST below is inscribed in the circle with center O. If each side of a polygon is tangent to a given circle then the polygon is circumscribed about the circle or equivalently the circle is inscribed in the polygon. In the figure below quadrilateral ABCD is circumscribed about the circle with center O. Two or more circles with the same center are called concentric circles. 44 For more material and information please visit Tai Lieu Du Hoc at Three-Dimensional Figures Basic three-dimensional figures include rectangular solids cubes cylinders spheres pyramids and cones. In this section we look at some properties of rectangular solids and right circular cylinders. a A rectangular solid has six rectangular surfaces called faces see figure below . Each line segment shown is called an edge there are 12 edges and each point at which the edges meet is called a vertex there are 8 vertices . The dimensions of a rectangular solid are length f width w and height h . w A rectangular solid with f w - h is called a cube. The volume V of a rectangular solid is the product of the three dimensions V Ểwh. The surface area A of a rectangular solid is the sum of the areas of the six faces or A 2 wi th wh . For example if a rectangular solid has length width 5 and height 10 then its volume is V 5 10 425 and its surface area is A 2 5 10 5 10 355. 45 For more material and information please visit Tai Lieu Du Hoc at b A right circular cylinder is shown in the figure below. Its bases are .

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