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