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Snowcat [4.5K]
3 years ago
11

The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of ╥ is 3.14. T

he measure of the angle defining the sector is
Mathematics
1 answer:
Gnoma [55]3 years ago
8 0
The equation for the area of a sector of a circle is expressed as the product of pi, square of the radius and the ratio of the angle of the sector and 360 degrees.

Area = πr^2 (α / 360°)

We obtain the angle by manipulating the equation.

α = (Area x 360°) / <span>πr^2 
</span>α = (2.512 cm^2 x 360°) / (π x 4^2)
<span>α =35.98</span>°
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