Answer:
72°
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 (
) 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
.
360 x 20 = 7200
7200 ÷ 100 = 72
x = 72
So, the central angle is 72°.
Have a nice day ^-^