In the figure,O is the center of the circle.The area of the sector OAPB is 29 part of the area of the circle.Find the value of x.
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There is a mistake in the question. It is not the area of x, that is to be find out, but instead the value of x is to be find out.
Area of the sector OAPB = x/360 × πr²
Now, according to the question.
Area of the sector OAPB = 5/18 of the area of the circle.
⇒ x/360 × πr² = 5/18πr²
⇒ x/360 × 5/18
⇒ 18x = 360 × 5
⇒ x = 1800/18
x = 100°
Step-by-step explanation:
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