Question

both circles have the same center. what is the area of the shaded region? d = 46.4 ft 39.3 ft write your answer as a whole number or a decimal rounded to the nearest hundredth. square feet

Explanation:

Step1: Calcular radio del círculo pequeño

$r_{\text{pequeño}} = \frac{46.4}{2} = 23.2 \, \text{ft}$

Step2: Radio del círculo grande dado

$r_{\text{grande}} = 39.3 \, \text{ft}$

Step3: Área sombreada = Área grande - Área pequeña

$Área = \pi (r_{\text{grande}}^2 - r_{\text{pequeño}}^2)$

Step4: Sustituir valores y calcular

$Área = \pi (39.3^2 - 23.2^2) = \pi (1544.49 - 538.24) = \pi (1006.25) \approx 3161.24$

Answer:

3161.24