Show that in a circle with radius(r), the length of the arc(l) and the area of the sector(A) with the same inclination at the center is given by A=(l×r)/2
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The length of the arc 'l', radius of the sector 'r' then the area of the sector is (l×r)/2 sq.units.
Step-by-step explanation:
Points to remember:
- The distance between the centre of the circle and the any point lying the circumference of the circle is the radius of the circle and it is denoted by'r'.
- The area enclosed by the two radii and the arc is called the sector of the circle.
- The part of the circle is called its arc.
- Total length of the circle is called its circumference and it is denoted by'C'.
- Circumference of the circle(C)=2πr units
- Area of the circle (A)=πr^2 sq.units
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