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What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm ?
Question

What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm ?

A.

45 cm²

B.

47 cm²

C.

48 cm²

D.

84 cm²

Correct option is C

Given:
Radius of the circle r=8 cm
Length of the arc l=12 cm
Formula Used:
The formula for the area of a sector of a circle is given by:
Area of Sector=12×r×l\text{Area of Sector} = \frac{1}{2} \times r \times l​​
where r is the radius and l is the length of the arc. 
Solution:

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