Answer:
B) 82.43 in³ (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
Given:
- diameter = 30 ft ⇒ radius = 15 ft
- [tex]\theta[/tex] = 42°
- [tex]\pi[/tex] = 3.14
Substituting the given values into the equation:
[tex]\implies \textsf{Area}=\left(\dfrac{42^{\circ}}{360^{\circ}}\right)(3.14)(15)^2[/tex]
[tex]\implies \textsf{Area}=82.425[/tex]
⇒ Area = 82.43 in³ (nearest hundredth)
