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In a circle of radius $8 cm$ , an arc subtends an angle of $108 °$ at the centre. What is the area of the sector in terms of $π ?$

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19.2 π c m^{2}

2 π c m^{2}

None of these

10 π c m^{2}

answer is A.

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Detailed Solution

Given that, Angle present at the centre of the circle is 108° and radius of the circle is 8 cm.
We know that,

A = q 360 ° π r 2

.
Substitute 108 for q and 8 for r into the formula

A = q 360 ° π r 2

A = 108 360 ° π r 2

Solve the equation without using the value of

π

.
A = 19.2π
The area of sector represented in terms of

π

is 19.2π

c m^{2}

.
Hence the correct option is 1.

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