Question

the area of a circle a is $85\pi$ $ft^2$.$\angle bac$ is a central angle of the circle, and $m\angle bac=36^\circ$.using 3.14 instead of $\pi$, what is the area of the $36^\circ$ sector?$circ$ $31.4$ $ft^2LXB0circ$ $66.73$ $ft^2$$circ$ $53.38$ $ft^2$

Explanation:

Step1: Find fraction of the sector

The central angle of the sector is $36^\circ$, and a full circle is $360^\circ$. The fraction of the circle that the sector occupies is:
$\frac{36^\circ}{360^\circ} = \frac{1}{10}$

Step2: Calculate numerical area of circle

The area of the full circle is $85\pi$ $\text{ft}^2$. Substitute $\pi=3.14$:
$85 \times 3.14 = 266.9$ $\text{ft}^2$

Step3: Compute sector area

Multiply the full circle area by the sector fraction:
$266.9 \times \frac{1}{10} = 26.69$ $\text{ft}^2$

Answer:

26.69 ft² (Option B: 26.69 ft²)