Answer:
72°
Step-by-step explanation:
In order to find the value of the central angle, you must first determine what percentage of the plate was broken.
Since 7 out of the total 35 inches of circumference were broken, you divide 7 by 35 ([tex]7/35[/tex]) and get 0.2, which means 20% of the plate is broken.
Now, knowing that a circle consists of 360°, you need to find 20% of 360.
Use the formula [tex]\frac{percent}{100} =\frac{part}{whole}[/tex] .
[tex]\frac{20}{100}=\frac{x}{360}[/tex]
360 x 20 = 7200
7200 ÷ 100 = 72
x = 72
So, the central angle is 72°.
Have a nice day ^-^
