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A church window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section if the length of the diameter is 90 cm?

Answer :

The required area of each stained glass section is 1060.71 square centimeters.

Area of a semicircle.

A semicircle is a part of a circle, gotten from the division of a circle into two equal halves. So that halve of a circle is a semicircle. The area of a semicircle can be determined as;

Area of a semicircle = 1/2 [tex]\pi[/tex] r^2

where r is the radius of the circle.

In the given question, we have;

diameter of the church's window = 90 cm

So that its radius is;

r = 90/ 2

= 45

r = 45 cm

Area of the church's window = 1/2 [tex]\pi[/tex] r^2

= 1/2 * 22/7 * 45^2

= 3182.143

Area of the church's window is 3182.143 square centimeters

Thus, since the semicircle would be divided into three equal parts;

Area of each stained glass section = 3182.143/ 3

= 1060.71 square centimeters

Learn more about the area of a semicircle at https://brainly.com/question/15937849

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Rewritten by : Brahmana