In circle l, arc op is 45 degrees and the radius is 5 units. which statement best describes the length of arc op ?

The length of arc OP is 1/8 the circumference of the circle

Step-by-step explanation:

step 1

Find the circumference of the circle L

The circumference is equal to

we have

substitute

step 2

Find the length of arc OP

we know that the circumference of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc OP by a central angle of 45 degrees

Let

x -----> the length of arc OP

therefore

The length of arc OP is 1/8 the circumference of the circle

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

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