Question

Can someone give me hand with this?​

Answer 1

Answer:

72°

Step-by-step explanation:

The full plate has a central angle of 360°.

7/35 × 360° = 72°

Answer 2

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 ($7/35$) 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 $\frac{percent}{100} =\frac{part}{whole}$ .

$\frac{20}{100}=\frac{x}{360}$

360 x 20 = 7200

7200 ÷ 100 = 72

x = 72

So, the central angle is 72°.

Have a nice day ^-^