Question

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find the area of the shape.
either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
units²
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Explanation:

Step1: Determine fraction of circle

The shape is $\frac{3}{4}$ of a full circle (since $360^\circ - 90^\circ = 270^\circ$, $\frac{270}{360}=\frac{3}{4}$).

Step2: Calculate full circle area

Area of full circle: $\pi r^2 = \pi (6)^2 = 36\pi$

Step3: Find shape's area

Multiply full area by $\frac{3}{4}$: $\frac{3}{4} \times 36\pi = 27\pi$

Step4: Decimal approximation (optional)

Substitute $\pi=3.14$: $27 \times 3.14 = 84.78$

Answer:

Exact answer: $27\pi$ units$^2$
Decimal approximation: $84.78$ units$^2$