Write the area of the sector of a circle whose radius is r and length of the arc is l.
Answers
Answered by
8
Answer:
Area of the sector of a circle whose radius is r and length of the arc is l is ½ lr.
Step-by-step explanation:
Given :
Radius of a circle = r
Length of the Arc = l
Area of the sector of a circle, A = (θ/360) × πr² ………..(1)
Length of the arc sector, l = (θ/360) × 2πr ………(2)
On Dividing equation 1 by 2
A/l = (θ/360) × πr²/ (θ/360) × 2πr
A/l = r²/2r
A/l = r/2
2A = l × r
A = ½ lr
Area of the sector of a circle = ½ lr
Hence, Area of the sector of a circle whose radius is r and length of the arc is l is ½ lr.
HOPE THIS ANSWER WILL HELP YOU….
Answered by
4
Answer:
Step-by-step explanation:
Area of the sector of a circle, A = (θ/360) × πr² ………..(1)
Length of the arc sector, l = (θ/360) × 2πr ………(2)
On Dividing equation 1 by 2
A/l = (θ/360) × πr²/ (θ/360) × 2πr
A/l = r²/2r
A/l = r/2
2A = l × r
A = ½ lr
Similar questions