Note: In this exercise we will discuss the Areas of Combinations of plane figures . Q.1. Find the area of the shaded region in figure 12.19 , if PQ = 24 cm , PR = 7 cm and O is the center of the circle. Given: P Q = 24 cm P R = 7…
Exercise – 12.2 Q1. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60º. Solution: Radius (r) = 6 cm θ = 60° Area of Minor Sector = (θ /360) × π r² ⇒ Area of Minor Sector = (60/360) × 22/7 × (6)² ⇒ Area…
Important Points: Perimeter of or Circumference of Circle = 2πr Area of Circle = π r² Area of Minor Sector = (θ/360º) πr² Area of Major Sector = (360º-θ)πr²/360º Length of Arc = (θ/360º) 2 r Area of Minor Segment = [ (θ/360º) π – sin(θ/2)cos(θ/2)] r² Area of Major Segment = Area of Circle…
Theorem 10.2 prove that ” The Lengths of tangents drawn from an external points to a circle are equal.” Given: C ( O , r ) P = External point from the circle P A and P B are tangents From External Point P Construction: Join External Point P , Point of contacts A and…
Tangent to a Circle : a tangent to a circle is a line which touches or intersect the circle at only one point. A tangent to a circle is a special type of secant ,In which both intersect points of secant are coincide. Theorem 10.1 Prove that ” The tangent at any point of a…
Here we will learn the following concepts in detail: A brief introduction to statistics Definition of statistics What is data How many types of data Methods of collection of data Difference between primary data and secondary data Representation of data Introduction to Statistics In ancient times also statistics were used at that time in India…
Line Of Sight: An Imaginary line drawn between the object and the eyes of the observer. The angle of elevation of the point viewed by the observer is made by the line of sight with above the horizontal level. note: In this situation, we always raise our heads to watch the object Angle Of…
In the measurement of central tendency, the Median has an important role, Median divides Numerical data into two parts from the middle that’s why it’s called the median, But during finding the median it is important for which type of data you have to find : For Ungrouped or discrete data, this is important that…
What is the trigonometry ratios table? It is a type of table by this table we can find out the value of some specific angles like 0º,30º,45°,60°and 90º. So it is essential that you know how to make this table, here I am going to explain this table in a very easy manner here I…
Q 1. In ΔABC, right-angled at B, AB = 24cm, BC = 7cm. Determine: (i) sin A, cos A (ii) sin C, cos C Given: In ΔABC ∠B = 90° AB = 24 BC = 7 To Find: (i) sin A =? Cos A =? (ii) sin C =? Cos C =? Solution: By PGT…