George is making a circle graph of the basketball shots he made during the season. He made 16 foul shots, 29 two-point shots, and 5 three-point shots. What will be the measure of the angle he makes when creating the sector for foul shots?
total shots: 16+29+5 = 50
foul shots: 16
16/50 * 360° = 115.2°
George is making a circle graph of the basketball shots he made during the season. He made 16 foul shots, 29 two-point shots, and 5 three-point shots. What will be the measure of the angle he makes when creating the sector for foul shots?
115.2
115.2
I HAD A TEST WITH THIS QUESTION
To find the measure of the angle for the sector representing the foul shots on George's circle graph, we need to determine the proportion of the foul shots in relation to the total number of shots made during the season.
Let's start by calculating the total number of shots George made. We add up the number of foul shots, two-point shots, and three-point shots:
Total shots = Foul shots + Two-point shots + Three-point shots
Total shots = 16 foul shots + 29 two-point shots + 5 three-point shots
Total shots = 16 + 29 + 5
Total shots = 50
Now, we will calculate the proportion of foul shots to the total shots made:
Proportion of foul shots = (Foul shots / Total shots) * 360 degrees
Substituting the values we know:
Proportion of foul shots = (16 / 50) * 360 degrees
Now, let's calculate the measure of the angle:
Angle for the sector representing foul shots = (16 / 50) * 360 degrees
Using a calculator:
Angle for the sector representing foul shots ≈ 115.2 degrees
Therefore, the measure of the angle for the sector representing foul shots on George's circle graph is approximately 115.2 degrees.