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Answer:
The area of the sector is 33.
Explanation:
A sector is a part of a circle that is formed by two radii (which forms a central angle), and an arc. The area of a sector (in radians) is given by:
= (θ ÷ ) ×
where: θ is the central angle of the sector and r is the radius of the circle of which the sector is a part.
Area of a circle = . But the area of the circles was given to be 36
.
Area of the sector = (θ ÷ ) × area of the circle
= (θ ÷ ) ×36
θ has been given to be .
Therefore;
Area of the sector = ( ÷
) ×36
= × 36
= 11 × 3
= 33
The area of the sector is 33.