An arc 28 cm is cut from a circle of radius 15 cm. Find the angle of the sector formed by this arc.

, which is approximately .

Step-by-step explanation:

In a given circle, the angle of a sector is proportional to the length of the corresponding arc:

.

For the circle in this question, , and the circumference would be:

.

The full circle itself is like a sector with an angle of , with the arc length equal to the circumference of the circle.

.

.

Rearrange the equation to find the angle of the sector:

.

In other words, the angle of this sector would be . Multiply that measure in radians by to find the value of the angle measured in degrees:

.

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450