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13-08-2021
Mathematics

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find the radius of a circle which has a sector of area 9 square meters determined by a central angle 1/3 radian

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welabird3 welabird3

13-08-2021

Answer:

L = length of arc , R = radius

radian angle = L / R

L = R* radian angle

L = R * 1/3

L = R/3 #1

Area of sector = 1/2 L*R

By substitution using #1

Area of sector = 1/2 * R/3 * R

9 = R^2 /6

R^2= 6*9

R^2= 36

R =✓36

R = 6

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