Area of sector of central angle 200 degree of a circle is 770cm. Find the length of the corresponding arc of this sector
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Solution :-
Given that the central angle of the sector is 200 degree.
or θ = 200
And, area of the sector = 770 cm²
Area of the sector = πr²*θ°/360°
⇒ 770 = 22/7*r²*200/360°
⇒ r² = 1940400/4400
⇒ r² = 441
⇒ r = √441
⇒ r = 21 cm
Now, length of the corresponding arc of this sector
= 200*21*π/180°
= 200*21*22/7*180
= 9240/126
= 220/3 cm
= 73 1/3 cm
Answer.
Given that the central angle of the sector is 200 degree.
or θ = 200
And, area of the sector = 770 cm²
Area of the sector = πr²*θ°/360°
⇒ 770 = 22/7*r²*200/360°
⇒ r² = 1940400/4400
⇒ r² = 441
⇒ r = √441
⇒ r = 21 cm
Now, length of the corresponding arc of this sector
= 200*21*π/180°
= 200*21*22/7*180
= 9240/126
= 220/3 cm
= 73 1/3 cm
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