For a given circle of radius 4 cm, the angle of its sector is 45°. Find the area (in cm2) of the sector. (Use π = 3.14.)
Correct Answer :
6.28
Solution :
The correct option is 6.28.
To find the area of a sector of a circle, we use the formula:
From the given problem, we have the following values:
Radius of the circle,
Angle of the sector,
Value of
Now, substitute these values into the sector area formula:
Simplify the fraction :
Substitute this simplified fraction back into the equation:
Divide 16 by 8:
Thus, the area of the sector is 6.28 cm2.
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