Question : What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm?
Option 1: 45 cm2
Option 2: 47 cm2
Option 3: 48 cm2
Option 4: 84 cm2
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Correct Answer: 48 cm 2
Solution :
Given:
The radius of the circle, $r=8$ cm
Arc length, $l=12$ cm
The area of a sector of a circle $=\frac{1}{2}lr=\frac{1}{2}×12×8=48$ cm
2
So, the area of a sector of a circle is 48 cm
2
.
Hence, the correct answer is 48 cm
2
.
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