the the area of minor sector is 150 with radius 15 cm find the length of an Arc corresponding on it.
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Answer:
The Lenght of corresponding arc is 20
Step-by-step explanation:
The area of sector is given by
1/2 r^2 A
where r : radius
A : angle subtended by sector
The lenght of arc is given by
rA
So
1/2 r^2 A = 150
A = 300/225
= 12/9
= 4/3
Lenght of arc = 4/3 × 15
= 4 × 5
= 20
So the length of corresponding arc is 20 cm .
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