Question : The area of a sector of a circle of radius 8 cm, formed by an arc of length 4.6 cm, is ____.
Option 1: 6.3 cm2
Option 2: 9.2 cm2
Option 3: 18.4 cm2
Option 4: 12.6 cm2
Correct Answer: 18.4 cm 2
Solution :
Given,
The radius of the circle, $r$ = 8 cm
arc length, $l$ = 4.6 cm
We know,
The area of a sector of a circle, A=$\frac12lr$
= $\frac12×8×4.6$
= 4 × 4.6
= 18.4 cm
2
Hence, the correct answer is 18.4 cm
2
.
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