Respuesta :

The area of the sector is  76. 95 m

How to determine the area of a sector

Using the formula;

Area of  sector of a circle  = /360° (r2)

where r is the radius of the circle

is the angle of the sector

From the diagram,

= 77°

r = 10. 7m

= 3. 142

Substitute into the formula

Area of the sector = 77/ 360° * (3. 142* 10. 7 * 10. 7)

Area of the sector = 0. 2139 * 359. 72

Area of the sector = 76. 95 m

Thus, the area of the sector is  76. 95 m

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