Question

the figure shows 1 of a circle that is shaded with a radius of 10 feet. what is the area, in square feet, of the shaded sector rounded to the nearest hundredth? square feet

Explanation:

Step1: Escribir la fórmula del área del sector

$$A=\frac{\theta}{360}\times\pi r^{2}$$
Donde $\theta = 90^{\circ}$ (porque es un cuarto de círculo) y $r = 10$ pies.

Step2: Sustituir los valores en la fórmula

$$A=\frac{90}{360}\times\pi\times(10)^{2}$$
Simplificar $\frac{90}{360}=\frac{1}{4}$
$$A=\frac{1}{4}\times\pi\times100$$

Step3: Calcular el valor

$$A = 25\pi$$
Tomar $\pi\approx3.14159$
$$A\approx25\times3.14159 = 78.53975$$

Answer:

$79$