What is the area of a sector with a central angle of 4π5 radians and a radius of 11 cm? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box. cm²

Answer

Area of sector (A) is given by:

where,

r is the radius and is the angle in degree.

As per the statement:

A central angle of radians and a radius of 11 cm.

⇒r = 11 cm

Use conversion:

1  radian =

then;

radians =

⇒ degree

Substitute these given values and use 3.14 for π we have;

square cm.

Therefore, the area of a sector is, 151.976 square cm

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step-by-step explanation: