What is the area of this shape?
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Answer:
3 pi
Step-by-step explanation:
Find the area of a circle with radius 2
A = pi r^2
A = pi 2^2
A = 4pi
This is 3/4 of a circle, so we want 3/4 of the area
3/4 * 4 pi
3 pi
First, solve for the area of the full circle.
Circle Area Formula: A = πr²
A = π(2)²
A = 4π
We need ¾ of this area.
4π * ¾ = 3π
Hence, the area of the circle is 3π
Best of Luck!