Recall that a circle of radius 2 centered at the origin has equation
where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius
is
, it follows that the area of a quarter-circle would be
.
You have
, so the definite integral is equal to
.
Another way to verify this is to actually compute the integral. Let
, so that
. Now
Recall the half-angle identity for cosine:
This means the integral is equivalent to
You divide 8644 by 8 which equals 1080.5, but since you can't have half of one person you approximate it to 1080 or 1081.
Answer:
Step-by-step explanation:
Please see the attached picture for the full solution.
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The answer is D, the yellow
I’m Pretty sure the answer is 17% if it’s wrong I’m really sorry but I’m pretty sure it’s right
