Calculate Length of Minor Arc, Area of Sector of Circle, Maths 10th Std, CBSE, NCERT, UP , Lecture 5
we will learn to find the areas of circles, areas of segments and sectors of circles, circumference, length of the arc of a sector, etc. A circle is a two-dimensional figure. It is a curved shape that has all its points at an equal distance from the center.
The area of a circle is πr2, where π=22/7 or ≈ 3.14 (can be used interchangeably for problem-solving purposes) and r is the radius of the circle.
π is the ratio of the circumference of a circle to its diameter.
Example: Find the area of a circle with radius = 7cm.
Solution: Given, radius of circle = 7cm
By the formula we know;
Area of circle = πr2
= π(7)2
= (22/7) (7)2
= 154 sq.cm.
The perimeter of a circle has a special name: Circumference, which is π times the diameter which is given by the formula;
Circumference of a circle = 2πr.
Example: The circumference of a circle whose radius is 21cm is given by;
C = 2πr
= 2 (22/7) (21)
= 132 cm
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