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the sector of a circle with a 16 - centimeter radius has a central angle measure of 45°. what is the exact area of the sector in terms of π?
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□ cm²
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Explanation:

Step1: Recall sector area formula

Sector area = $\frac{\theta}{360^\circ} \times \pi r^2$ (θ=central angle, r=radius)

Step2: Plug in values

θ=45°, r=16 cm: $\frac{45}{360} \times \pi \times 16^2$

Step3: Simplify the expression

$\frac{1}{8} \times \pi \times 256 = 32\pi$

Answer:

32π