A glass prism on a chandelier is 80 millimeters long. A base of the prism is an equilateral triangle with side lengths of 9 mill
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Answer:
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector minus the area of the triangle
step 1
Find the area of the circle
the area of the circle is equal to
we have
substitute
step 2
Find the area of the sector
we know that
The area of the circle subtends a central angle of 360 degrees
so
by proportion find out the area of a sector by a central angle of 72 degrees
step 3
Find the area of triangle
The area of the triangle is equal to
step 4
Find the area of the shaded region
Subtract the area of the triangle from the area of the sector
