This is timed pleaseeeeee hurry!!!!!! see picture
2 answers:
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Answer:
83.7 %
Step-by-step explanation:
To get the area of the shaded region, we will following these steps.
Step one: Get the area of the sector of the circle.
The area of the sector of the circle can be obtained using the formula:
Theta will be 60 degrees because triangle OAD is an equilateral triangle
Hence,
Step Two: Get the area of the equilateral triangle
The area of the equilateral triangle can be got using the formula
The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.
This will be
Thus
Step Three: Subtract the area of the triangle from the area of the sector
Area of the shaded portion =
Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:
Expressing the ratio of the two areas as a percentage, we have
%