Answer:
D.Area of sector=88.31 square feet.
Step-by-step explanation:
We are given that a circle A and its radius is 15 feet.
The central angle is equal to 45 degrees.
Radius of circlle=15 feet
Angle at center=[tex]\theta=45^{\circ}[/tex]
We know that the area of sector
Area of sector=[tex]\frac{\theta}{360}\times \pi r^2[/tex].
We take value of [tex]\pi=3.14[/tex]
Substituting all given values in the given formula
Area of sector=[tex]\frac{45}{360}\times 3.14\times 15\times 15[/tex]
Area of sector=[tex]\frac{31792.5}{360}[/tex]
Area of sector= 88.3125 square feet
Hence, area of sector=88.31 square feet.Therefore, option D is correct answer.
