Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

Multiply both sides by 5

Multiply both sides by Area{circle}

Substitute the areas of sector and circle with their respective formulas;

So, we have

Divide both sides by

Multiply both sides by 360

Divide both sides by 5

Hence, the central angle is 216 degrees

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step-by-step explanation:

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