Circles are a deceptively simple topic to get into but RS Aggarwal Class 10 Maths Chapter 16 Solutions will serve to show the challenging questions that can arise when we begin dividing the circle into parts.
It is essential to clarify some terminology before moving to discuss the solutions for RS Aggarwal Chapter 16. A segment is the region of a circle bounded by a chord and the arc between its two points; a single chord divides the circle into a larger and a smaller segment.
RS Aggarwal Class 10 Math Solutions Chapter 16 Area of Circle, Sector and Segment
Also Read:
Chapter 12 – Trigonometric Ratios of Complementary Angles
Chapter 13 – Trigonometric Identities
Chapter 14 – Heights and Distances
Chapter 15 – Perimeter and Area of Plane Figures
The sector on the other hand is the area under two radii and the arc between them. Now that these terms are clear you can move on to RS Aggarwal Class 10 Chapter 16 solutions and begin practising the topic.
Class 10 RS Aggarwal Area of Circle, Sector and Segment Solutions
This chapter will allow you to apply your previous knowledge of geometry as well because of the multitude of questions that include circles being inscribed in shapes or shapes being inscribed in circles. For instance, a circle is inscribed in a square such that the side of the square and the diameter of the circle are equal.
Additionally, the questions may call upon you to calculate the shaded area of the circle. Practising each question in the RS Aggarwal Chapter 16 solution series and drawing diagrams for them will make you more accustomed to the process and you should be able to imagine simple types of problems within your mind, saving you precious time when it counts.
RS Aggarwal Class 10 Math Solutions Chapter 16 Area of Circle, Sector and Segment PDF Download
Additionally, you can find RS Aggarwal Chapter 16 Solutions Area of Circle, Sector and Segment as pdf files on our website. These PDF files are available for all Class 10 RS Aggarwal chapter solutions and are a useful tool for anyone wishing to study the topics.
Formulas to keep in mind:
While practising RS Aggarwal Class 10 Chapter 16 solutions you will need to refer to the following formula
- Area of circle: πr2
- Degree to radians: Angle in degree * π/180. For some of the questions converting the value to radians might be asked or even be easier
- Area of the sector: (θ/360°) × πr2
- Arc length: L = θ × π (when θ is in radians)
- Area of the segment: The area of the segment is given by subtracting the area of the triangle made by the centre and the radii going to the chords from the area of the arc subtended by the same radii.
- (( θ × π)/360) − sin(θ)/2 ) × r2
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