Sector Area Math Example 1

Solution

1. 1
   Step 1: Write the sector area formula in degrees: $A = \frac{\theta}{360°} \times \pi r^2$.
2. 2
   Step 2: Substitute $\theta = 90°$ and $r = 8$ cm: $A = \frac{90}{360} \times \pi (8)^2$.
3. 3
   Step 3: Simplify the fraction: $\frac{90}{360} = \frac{1}{4}$, and $r^2 = 64$.
4. 4
   Step 4: Compute: $A = \frac{1}{4} \times 64\pi = 16\pi \approx 50.27$ cm².