O is the centre of a circle. The area of sector oapb is 18 5 of the area of the circle. Find x
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The value of x is 100° degrees.
Step-by-step explanation:
Let x = central angle
r = radius of the circle.
Area of sector = 5/18th of area of circle
Now are of sector (OAPB) = πR^2x / 360 = 5/18 (πr^2)
x / 360 = 5/18
x = 5/18 x 360 = 100 degrees.
Thu the value of x is 100 degrees.
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