This chapter teaches you about the tangents to a circle and angles formed by them at different points. It tells you about various theorems about tangents to a circle and their point of contact in this chapter using which, you can further devise other results and theorems to be used in other topics of geometry.
In this chapter, you will learn how to divide a line segment in a given ratio and construction of a triangle similar to another triangle on a given scale and how to construct two tangents on a circle from an external point.
This chapter includes the circumference of a circle, area of circles, the length of an arc with a given radius with the advanced level of mensuration topics such as areas of sectors and areas of segments in a given circle.
The topics covered in this chapter are the total surface areas and curved surface areas of solid figures such as the hemisphere, frustum, solid sphere, and spherical shells. You will also be introduced to the formulae of evaluating the volume of all these solids.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes how likely they are.
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