In circle s, diameter pn is drawn .if measurement arc mn=110 degrees and ps=10 then find the length of mn to the nearest tenth. show how you found your answer

Step-by-step explanation:

step 1

Find PN

we know that

PN is a diameter

PS is a radius

so

step 2

Find the measure of arc MP

step 3

Find the measure of angle MNP

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 4

Find the measure of angle MPN

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 5

Find the measure of angle NMP

The sum of the internal angles of a triangle must be equal to 180 degrees

therefore

The triangle MNP is a right triangle

step 6

Find the length MN

In the right triangle MNP

substitute the values