The area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².
What is the area of a circular sector?
The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated if theta is measure in radian as,
[tex]A_{sector}=\dfrac{r^2\theta}{2}[/tex]
It can be calculated if theta is measure in degrees as,
[tex]A_{sector}=\dfrac{\pi r^2\theta}{360}[/tex]
Here, (r) is the radius of the circle and (θ) is the central angle.
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.
Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. Thus, the area of the top surface of this wedge is,
[tex]A_{sector}=\dfrac{\pi (10)^2(45)}{360}\\A_{sector}\approx 39.3\rm\; cm^2[/tex]
Thus, the area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².
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