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Answer:

Step-by-step explanation:

Area of the circle = πr² = π7.3² = 53.29π

Area of major sector = 53.29π(285/360) ≈ 132.54 cm²

The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

What is a Major Sector ?

The region bounded by the two radii and intercepted arc in a circle is called a sector .

The angle made by the radii to the center of the circle is called central angle .

if the measure of the angle is less than 180 degree then it is called minor sector and if the angle is more than 180 degree , it is called Major Sector.

It is given that

The radii of the circle is 7.3 cm

The angle subtended by the major sector at the center is 285 degree.

The area of the sector is given by

= ([tex]\rm \theta[/tex] / 360) * Area of the circle

Area of the circle is πr²

Area of the sector = ( 285 / 360) * (22/7) * (7.3)²

Area of the sector is 132.5 sq.cm

Therefore , The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

To know more about Major Sector

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