What is the approximate area of the shaded sector in the circle shown below

Option (D)

Step-by-step explanation:

The area of sector of a circle is given by formula:

Area of sector of circle= (∅)/2

where r is the radius of circle and ∅ is the angle subtended by the arc at the center of circle in radians.

Given :

∅ =155°  

radius =4.3 in

The first step will be to convert the angle from degree to radian

According to formula:

°

Using above to solve:

°=×155° = 2.705 radians

Area of sector of circle= (∅)/2

Substituting value into above we have,

Area of sector of circle= ( ×2.705)/2 = 25.007 = 25 (approx)

So the answer is Option (D)

step-by-step explanation:

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