Final answer:
To calculate the area of the pizza slice, use the formula for the area of a circle, adjust for the sector's angle, and ensure the final answer is rounded appropriately for significant figures.
Step-by-step explanation:
The question provided involves calculating the area of a pizza slice, which is a sector of a circle. To find the area of the sector, we can use the formula for the area of a circle, πr², and then adjust it to account for the angle of the sector, which is given as 38°. Since a full circle is 360°, the area of the sector can be found by multiplying the area of the whole circle by the fraction 38/360.
The first step is to calculate the area of the whole circle with the radius 17 cm using the formula A = πr². Substituting the radius, we get A = 3.1415927... × (17 cm)². After performing the calculation, we would get the full circle's area, but then we must multiply by 38/360 to get the area of the slice.
Therefore, the area of the pizza slice is A_slice = (38/360) × A_circle. Once the calculation is done, it is important to round the answer to one decimal place, as instructed, and ensure that it is reported with the correct number of significant figures.