Question

If a savings account accounts for 9.2% of a budget, what is its central angle measurement?

a. 33.1°
b. 25.5°
c. 331.2°
d. 39.1°

Answer 1

The central angle measurement for a savings account that accounts for 9.2% of a budget is calculated by multiplying the percentage by 360°. The answer is 33.12°, which rounds to 33.1°, corresponding to option (a).

Step-by-step explanation:

To calculate the central angle measurement that corresponds to 9.2% of a budget in a pie chart, we need to use the fact that a full circle represents 100% and has 360 degrees. The central angle for any percentage can be found by multiplying the percentage (as a decimal) by the total degrees in a circle.

Therefore, the central angle for a savings account that accounts for 9.2% of a budget is:

Central angle = 9.2% of 360°
= 0.092 × 360°
= 33.12°

The closest answer to 33.12° is 33.1°, which makes option (a) the correct choice.